Bit of maths

[captainnemo]

Would the hotel exist in one universe or the googleplex of multiverses?

Just an unhelpful thought.....heh heh heh!!

[Letz]

Originally Posted by uwila

But now imagine you have a guest list where every guest was sent an invitation upon which a rational fraction between 0 and 1 was written (see my earlier post). Assume that you've used all the rational fractions available.*

The hotel has rooms numbered 1, 2, 3, 4, 5, ... to infinity.

Does the number of guests exceed the number of rooms available? Can the hotel find rooms for everyone?

Well if there's invitations it's a party and we all know there's beer and music at parties ..... + =
So we now have + which can only lead to + = friendly room "sharing"

So the answer is ................ there will always be plenty of rooms at a party due to 'optimum room utlisation'

[dry suit diver]

Originally Posted by Sixsquid

Well if there's invitations it's a party and we all know there's beer and music at parties ..... + =
So we now have + which can only lead to + = friendly room "sharing"

So the answer is ................ there will always be plenty of rooms at a party due to 'optimum room utlisation'

green incoming