Gamers test your thinking skills!

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dracos9000

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#1 dracos9000
Member since 2006 • 1318 Posts

Ok heres the information to use

Lets have H=hotel with 00(infinite) rooms

the hotel rooms are listed like so: [1][2][3][4][5][6]...[00]

-------------------------------------------------------------------

Problem 1: 1 person comes by and asks for a vacancy at the hotel. How will the hotel manager

be able to give this person a room if its impossible to count infinity?

Problem 2: 00 people come and asks for a room at the hotel. How will the hotel manager be able to

give each person a room if its impossible to count infinity?

--------------------------------------------------------------------

Hints:

Given the second hint early since someone had already mentioned it.

1+00=00.

2*00=00.

-----------

Alright good luck gamers; I know you can figure it out!

I'll give 1 hint per day if no one figures it out. We learn something in school everyday heh.

--------------------------------------

Problem solved thanks to the power of the internet. :p

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BEAN_LARD_MULCH

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#2 BEAN_LARD_MULCH
Member since 2006 • 4720 Posts
Divide by zero. Problem solved. OR IS IT REALLY SOLVED?! OH SH-
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Ink__Blot

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#3 Ink__Blot
Member since 2007 • 103 Posts

Problem 1: 1 person comes by and asks for a vacancy at the hotel. How will the hotel manager

be able to give this person a room if its impossible to count infinity?

who said hes going to be counting to invinity? he just gives him an open room...

Problem 2: 00 people come and asks for a room at the hotel. How will the hotel manager be able to

give each person a room if its impossible to count infinity?

"follow the person in front of you and each of you go into a vacant room"

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dracos9000

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#4 dracos9000
Member since 2006 • 1318 Posts

Divide by zero. Problem solved. OR IS IT REALLY SOLVED?! OH SH-BEAN_LARD_MULCH

Explain to me how you will be able to divide 00 by zero?

Its not possible however, both problems above are very possible to solve.

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dracos9000

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#5 dracos9000
Member since 2006 • 1318 Posts

Problem 1: 1 person comes by and asks for a vacancy at the hotel. How will the hotel manager

be able to give this person a room if its impossible to count infinity?

who said hes going to be counting to invinity? he just gives him an open room...

Problem 2: 00 people come and asks for a room at the hotel. How will the hotel manager be able to

give each person a room if its impossible to count infinity?

"follow the person in front of you and each of you go into a vacant room"

Ink__Blot

Problem 1:You are thinking on the right track but your missing the point that its 00 rooms so how exactly would the manager know which rooms are open and closed?

Problem 2: Again how will the people be able to traverse a room if its 00. If you put just a little more thought you can probably figure it out.

You really are thinking close but just not clearly enough.

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Ink__Blot

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#6 Ink__Blot
Member since 2007 • 103 Posts
[QUOTE="Ink__Blot"]

Problem 1: 1 person comes by and asks for a vacancy at the hotel. How will the hotel manager

be able to give this person a room if its impossible to count infinity?

who said hes going to be counting to invinity? he just gives him an open room...

Problem 2: 00 people come and asks for a room at the hotel. How will the hotel manager be able to

give each person a room if its impossible to count infinity?

"follow the person in front of you and each of you go into a vacant room"

dracos9000

Problem 1:You are thinking on the right track but your missing the point that its 00 rooms so how exactly would the manager know which rooms are open and closed?

Problem 2: Again how will the people be able to traverse a room if its 00. If you put just a little more thought you can probably figure it out.

You really are thinking close but just not clearly enough.

DO NOT DISTURB signs ;)

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Luminouslight

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#7 Luminouslight
Member since 2007 • 6397 Posts
Problem 2: If there is [00] people, then each person gets a room.
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dracos9000

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#8 dracos9000
Member since 2006 • 1318 Posts

DO NOT DISTURB signs ;)

thats practical but not the right answer heh.

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dracos9000

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#9 dracos9000
Member since 2006 • 1318 Posts

Problem 2: If there is [00] people, then each person gets a room.Luminouslight

yes but how will the hotel manager be able to put 00 people in 00 rooms without knowing which rooms are full or vacant?

Now if you were assuming that all the rooms were empty than your answer would work but no assumption was made that any of the rooms are full nor empty. Its more of some full some empty basis but since its 00 its not possible for the hotel manager to know what rooms they can use.

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dracos9000

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#10 dracos9000
Member since 2006 • 1318 Posts

I know its hasnt been a day but the problem is probably tougher than I thought so heres a big hint!

00(inifinity)

1+00=00.

Alright good luck!

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StephenHu

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#11 StephenHu
Member since 2003 • 2852 Posts
Demolish the wretched hotel.
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muthsera666

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#12 muthsera666
Member since 2005 • 13271 Posts
If there are unlimited rooms, then just give everyone a coded keycard. When they try to insert it into the door, and the room is occupied, it will kick the card out. If the room is not occupied, it will lock the card and the locking sequence. At that point, an infinite number of people will be able to fit into an infinite number of rooms regardless if there were some originally occupied.
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dracos9000

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#13 dracos9000
Member since 2006 • 1318 Posts

If there are unlimited rooms, then just give everyone a coded keycard. When they try to insert it into the door, and the room is occupied, it will kick the card out. If the room is not occupied, it will lock the card and the locking sequence. At that point, an infinite number of people will be able to fit into an infinite number of rooms regardless if there were some originally occupied.muthsera666

Heh theoritically that would work but then you would have the problem of producing an infinite amount of cards and being able to hand an infinite amount of cards to an infinite amount of people. So it just doesnt seem logically sound.

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dracos9000

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#14 dracos9000
Member since 2006 • 1318 Posts

Demolish the wretched hotel.StephenHu

How would you demolish a hotel with infinite rooms? Lol.

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muthsera666

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#15 muthsera666
Member since 2005 • 13271 Posts

[QUOTE="muthsera666"]If there are unlimited rooms, then just give everyone a coded keycard. When they try to insert it into the door, and the room is occupied, it will kick the card out. If the room is not occupied, it will lock the card and the locking sequence. At that point, an infinite number of people will be able to fit into an infinite number of rooms regardless if there were some originally occupied.dracos9000

Heh theoritically that would work but then you would have the problem of producing an infinite amount of cards and being able to hand an infinite amount of cards to an infinite amount of people. So it just doesnt seem logically sound.

If you are supposing an infinite number of rooms, then why can't it be supposed an infinite number of locks and keys?

And the infinite people need to come in somewhere. They would have to register so that they could be billed.

I daresay that my assessment is logical based upon the non-logically sound basic scenario you have depicted herein.

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GameFreak315

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#16 GameFreak315
Member since 2003 • 28485 Posts
If it's impossible to count to infinity, then how do you know that there are infinity people/hotel rooms?
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dracos9000

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#17 dracos9000
Member since 2006 • 1318 Posts

If it's impossible to count to infinity, then how do you know that there are infinity people/hotel rooms?GameFreak315

The scenario of the problem is based in the world of mathematics. However, if you wanted to count infinity you could use the correspondence method. But that really is not related to the question the problem is asking. Also correspondence is not acutally counting but more of an elimination. Like say there is a group of people who cant count past 4 so anything over 4 they cant count and its the same as infinity is to us.

So they want to see who has the most rubies even though the number may go over 4. Its done like this.

r1=first person's ruby

r2=other person's ruby

r1,r1,r1,r1,r1,r1

r2,r2,r2,r2,r2,r2,r2,r2,r2,r2,r2,r2

So as soon as the first person can no longer check their amount of rubies with the other person they are able to tell that the other person has the most rubies. Thats the gist of it.

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Jocubus

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#18 Jocubus
Member since 2006 • 2812 Posts
Its easy to demolish a hotel with infinite rooms as long as the space it takes up is finite. For example, a 100 ft^3 room could be divided into an infinite number of compartments they would just become increasingly small.
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dracos9000

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#19 dracos9000
Member since 2006 • 1318 Posts

Its easy to demolish a hotel with infinite rooms as long as the space it takes up is finite. For example, a 100 ft^3 room could be divided into an infinite number of compartments they would just become increasingly small. Jocubus

Ok now take a crack at the problem.

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thriteenthmonke

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#20 thriteenthmonke
Member since 2005 • 49823 Posts
Divide by zero.
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thnickaman13

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#21 thnickaman13
Member since 2006 • 633 Posts
[QUOTE="dracos9000"]

[QUOTE="muthsera666"]If there are unlimited rooms, then just give everyone a coded keycard. When they try to insert it into the door, and the room is occupied, it will kick the card out. If the room is not occupied, it will lock the card and the locking sequence. At that point, an infinite number of people will be able to fit into an infinite number of rooms regardless if there were some originally occupied.muthsera666

Heh theoritically that would work but then you would have the problem of producing an infinite amount of cards and being able to hand an infinite amount of cards to an infinite amount of people. So it just doesnt seem logically sound.

If you are supposing an infinite number of rooms, then why can't it be supposed an infinite number of locks and keys?

And the infinite people need to come in somewhere. They would have to register so that they could be billed.

I daresay that my assessment is logical based upon the non-logically sound basic scenario you have depicted herein.

owned by logic

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dracos9000

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#22 dracos9000
Member since 2006 • 1318 Posts
[QUOTE="muthsera666"][QUOTE="dracos9000"]

[QUOTE="muthsera666"]If there are unlimited rooms, then just give everyone a coded keycard. When they try to insert it into the door, and the room is occupied, it will kick the card out. If the room is not occupied, it will lock the card and the locking sequence. At that point, an infinite number of people will be able to fit into an infinite number of rooms regardless if there were some originally occupied.thnickaman13

Heh theoritically that would work but then you would have the problem of producing an infinite amount of cards and being able to hand an infinite amount of cards to an infinite amount of people. So it just doesnt seem logically sound.

If you are supposing an infinite number of rooms, then why can't it be supposed an infinite number of locks and keys?

And the infinite people need to come in somewhere. They would have to register so that they could be billed.

I daresay that my assessment is logical based upon the non-logically sound basic scenario you have depicted herein.

owned by logic

Haha I guess, but the scenario I proposed is in the logic of infinity mathematics. Now why dont you take a crack at the problem and use the hint 1+00=00.

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Chairman-Yin

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#23 Chairman-Yin
Member since 2006 • 286 Posts

problem 1:

just give the person the next empty room because you will never run out, this way you dont have to keep track of which rooms are open.

problem 2:

what is infinity*2? still infinity, if the first infinity of rooms are of unknown status, give the 00 people the next 00 of rooms.

EDIT: why the hell would you hire a manager for your 00 room hotel if he can't manage it? if he's the manager, it's only possible that he has the ability to keep track of the finite amount of rooms he has check out to customers.

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Ravirr

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#24 Ravirr
Member since 2004 • 7931 Posts

he is a bad manager if he over books. Besides computer systems solve this.

infinite +1 and bam he has a room for them. win

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rohver

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#25 rohver
Member since 2005 • 11848 Posts

uhhh....

*head explodes*

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muthsera666

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#26 muthsera666
Member since 2005 • 13271 Posts
[QUOTE="thnickaman13"][QUOTE="muthsera666"][QUOTE="dracos9000"]

[QUOTE="muthsera666"]If there are unlimited rooms, then just give everyone a coded keycard. When they try to insert it into the door, and the room is occupied, it will kick the card out. If the room is not occupied, it will lock the card and the locking sequence. At that point, an infinite number of people will be able to fit into an infinite number of rooms regardless if there were some originally occupied.dracos9000

Heh theoritically that would work but then you would have the problem of producing an infinite amount of cards and being able to hand an infinite amount of cards to an infinite amount of people. So it just doesnt seem logically sound.

If you are supposing an infinite number of rooms, then why can't it be supposed an infinite number of locks and keys?

And the infinite people need to come in somewhere. They would have to register so that they could be billed.

I daresay that my assessment is logical based upon the non-logically sound basic scenario you have depicted herein.

owned by logic

Haha I guess, but the scenario I proposed is in the logic of infinity mathematics. Now why dont you take a crack at the problem and use the hint 1+00=00.

Ah. I use common sense logic. I don't like mathematical logic. I utilize logical arguments in the language arena.

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dracos9000

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#27 dracos9000
Member since 2006 • 1318 Posts

problem 1:

just give the person the next empty room because you will never run out, this way you dont have to keep track of which rooms are open.

problem 2:

what is infinity*2? still infinity, if the first infinity of rooms are of unknown status, give the 00 people the next 00 of rooms.

EDIT: why the hell would you hire a manager for your 00 room hotel if he can't manage it? if he's the manager, it's only possible that he has the ability to keep track of the finite amount of rooms he has check out to customers.

Chairman-Yin

With your answer to problem one you are thinkng along the right lines but give it some more thought and you will probably get the answer.

Nice that you did 2*00=00 but you are not understanding that concept completely.

Hilarious edit.

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dracos9000

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#28 dracos9000
Member since 2006 • 1318 Posts

he is a bad manager if he over books. Besides computer systems solve this.

infinite +1 and bam he has a room for them. win

Ravirr

A computer system cannot solve this remember the PCP or post correspondence problem.

1+00=00 yes but you are not applying that to the problem correctly.

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cool_baller

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#29 cool_baller
Member since 2003 • 12493 Posts
A hotel can't have an infinite amount of rooms, because there is a finite amount of space. Therefore the problem is impossible to solve.
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Kikouken

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#30 Kikouken
Member since 2006 • 15913 Posts

Divide by zero. Problem solved. OR IS IT REALLY SOLVED?! OH SH-BEAN_LARD_MULCH

Divide zero...by zero :shock:

can result in atomic explosion.....

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dracos9000

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#31 dracos9000
Member since 2006 • 1318 Posts

A hotel can't have an infinite amount of rooms, because there is a finite amount of space. Therefore the problem is impossible to solve.cool_baller

Incorrect answer it has a solution in the logic of mathematics, but more precise in the logic of infinity mathematics. Also dont see the hotel as a physical entity just as a image tool used to simply the problem.

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o_sausage

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#32 o_sausage
Member since 2006 • 5919 Posts

Problem 1: 1 person comes by and asks for a vacancy at the hotel. How will the hotel manager

be able to give this person a room if its impossible to count infinity?

who said hes going to be counting to invinity? he just gives him an open room...

Problem 2: 00 people come and asks for a room at the hotel. How will the hotel manager be able to

give each person a room if its impossible to count infinity?

"follow the person in front of you and each of you go into a vacant room"

Ink__Blot
Couldn't have said it better myself. WHy do you need to divide and add and stuff when the problem is pure common sense?
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halfnaked

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#33 halfnaked
Member since 2005 • 1450 Posts

http://en.wikipedia.org/wiki/Hilbert%27s_paradox_of_the_Grand_Hotel

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dracos9000

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#34 dracos9000
Member since 2006 • 1318 Posts

http://en.wikipedia.org/wiki/Hilbert%27s_paradox_of_the_Grand_Hotel

halfnaked

ah the internet the source of all answers. So then whats the answer?

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halfnaked

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#35 halfnaked
Member since 2005 • 1450 Posts
[QUOTE="halfnaked"]

http://en.wikipedia.org/wiki/Hilbert%27s_paradox_of_the_Grand_Hotel

dracos9000

ah the internet the source of all answers. So then whats the answer?

does this problem even have an answer?

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dracos9000

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#36 dracos9000
Member since 2006 • 1318 Posts
[QUOTE="dracos9000"][QUOTE="halfnaked"]

http://en.wikipedia.org/wiki/Hilbert%27s_paradox_of_the_Grand_Hotel

halfnaked

ah the internet the source of all answers. So then whats the answer?

does this problem even have an answer?

yes you didnt read the site you posted? Its clearly answers problem one and problem two of the question I asked.

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Ink__Blot

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#37 Ink__Blot
Member since 2007 • 103 Posts
i read part of it and i like my logic better then maths non-logic
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dracos9000

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#38 dracos9000
Member since 2006 • 1318 Posts

i read part of it and i like my logic better then maths non-logicInk__Blot

common sense is limited to the human psyche but mathemathics is limited to the universe.

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branketra

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#39 branketra
Member since 2006 • 51726 Posts

[QUOTE="BEAN_LARD_MULCH"]Divide by zero. Problem solved. OR IS IT REALLY SOLVED?! OH SH-dracos9000

Explain to me how you will be able to divide 00 by zero?

Its not possible however, both problems above are very possible to solve.

The same way people use negative and imaginary numbers to solve real world problems.
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dracos9000

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#40 dracos9000
Member since 2006 • 1318 Posts
[QUOTE="dracos9000"]

[QUOTE="BEAN_LARD_MULCH"]Divide by zero. Problem solved. OR IS IT REALLY SOLVED?! OH SH-BranKetra

Explain to me how you will be able to divide 00 by zero?

Its not possible however, both problems above are very possible to solve.

The same way people use negative and imaginary numbers to solve real world problems.

dividing by zero creates undefined. there is no division needed to solve this problem so the solution can be defined.

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Rikusaki

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#41 Rikusaki
Member since 2006 • 16641 Posts
A Robot Manager! They live forever!
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BEAN_LARD_MULCH

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#42 BEAN_LARD_MULCH
Member since 2006 • 4720 Posts
[QUOTE="BranKetra"][QUOTE="dracos9000"]

[QUOTE="BEAN_LARD_MULCH"]Divide by zero. Problem solved. OR IS IT REALLY SOLVED?! OH SH-dracos9000

Explain to me how you will be able to divide 00 by zero?

Its not possible however, both problems above are very possible to solve.

The same way people use negative and imaginary numbers to solve real world problems.

dividing by zero creates undefined. there is no division needed to solve this problem so the solution can be defined.


I know it creates undefined. Anyway you missed the joke. Doesnt matter.
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Rikusaki

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#43 Rikusaki
Member since 2006 • 16641 Posts

#1

The Hotel will always be vacant because there will always be rooms available. There are 00 rooms. There will never be 0 rooms available.

Remember? 1+00=00.

#2

Even though there are 00 people, there are also 00 rooms. There will ALWAYS be rooms available and people can keep coming.

00 over 00 does not = 1. It = 00.

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PainKiller_25

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#44 PainKiller_25
Member since 2006 • 2614 Posts

The hotel will always have rooms if they are infinite
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Rikusaki

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#45 Rikusaki
Member since 2006 • 16641 Posts

#1

The Hotel will always be vacant because there will always be rooms available. There are 00 rooms. There will never be 0 rooms available.

Remember? 1+00=00.

#2

Even though there are 00 people, there are also 00 rooms. There will ALWAYS be rooms available and people can keep coming.

00 over 00 does not = 1. It = 00.

Rikusaki

'Cmon TC where are ya?

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dracos9000

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#46 dracos9000
Member since 2006 • 1318 Posts

#1

The Hotel will always be vacant because there will always be rooms available. There are 00 rooms. There will never be 0 rooms available.

Remember? 1+00=00.

#2

Even though there are 00 people, there are also 00 rooms. There will ALWAYS be rooms available and people can keep coming.

00 over 00 does not = 1. It = 00.

Rikusaki

thats just stating the obvious not presenting a solution.

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Rikusaki

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#47 Rikusaki
Member since 2006 • 16641 Posts
[QUOTE="Rikusaki"]

#1

The Hotel will always be vacant because there will always be rooms available. There are 00 rooms. There will never be 0 rooms available.

Remember? 1+00=00.

#2

Even though there are 00 people, there are also 00 rooms. There will ALWAYS be rooms available and people can keep coming.

00 over 00 does not = 1. It = 00.

dracos9000

thats just stating the obvious not presenting a solution.

The manager can just use a computer that puts up randoms numbers. The Program will cross out the numbers already used. The number of rooms will never run out.

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dracos9000

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#48 dracos9000
Member since 2006 • 1318 Posts
[QUOTE="dracos9000"][QUOTE="Rikusaki"]

#1

The Hotel will always be vacant because there will always be rooms available. There are 00 rooms. There will never be 0 rooms available.

Remember? 1+00=00.

#2

Even though there are 00 people, there are also 00 rooms. There will ALWAYS be rooms available and people can keep coming.

00 over 00 does not = 1. It = 00.

Rikusaki

thats just stating the obvious not presenting a solution.

The manager can just use a computer that puts up randoms numbers. The Program will cross out the numbers already used. The number of rooms will never run out.

Computers cannot solve the problem because of the PCP or post correspondence problem.

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Rikusaki

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#49 Rikusaki
Member since 2006 • 16641 Posts

There is no solution then!

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dracos9000

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#50 dracos9000
Member since 2006 • 1318 Posts

There is no solution then!

Rikusaki

On the contrary there is a solution just because a computer cant solve it doesnt mean there is no solution. There are more problems that cannot be computed by a computer but can still be solved with the human mind.