... accept more customers even if it is at 100% capacity?
2007-04-10 14:59:54 · 10 answers · asked by zaxxon 3 in Science & Mathematics ➔ Other - Science
Infinite means not finite. 100% means nothing in this case.
2007-04-10 15:02:51 · answer #1 · answered by Anonymous · 0⤊ 1⤋
A hotel with 200 rooms can accept 300 customers, and sometimes does. If more than 200 show up, it can't house them.
Consider a hotel with an infinite number of rooms, numbered with the positive integers. Consider an infinite population of customers, numbered with the negative integers. There is an exact correlation between the populations, and if all customers go to the hotel, it is at 100% capacity. It cannot house more customers. If you add even just one more customer, numbered 1.5, there is no room for him. There is a branch of mathematics for dealing with infinite sets.
2007-04-10 22:18:32 · answer #2 · answered by Frank N 7 · 0⤊ 0⤋
Sure. That is the beauty of infinity. You can always increase it and still be at infinity.
Actually even a hotel that does not have an infinite number of rooms can usually accept more customers. Just think if Oprah Winfrey came by and wanted a room at the last minute. You can bet they would find a room for her even if they claimed to be full.
2007-04-10 22:05:24 · answer #3 · answered by Rich Z 7 · 0⤊ 0⤋
Actually, it can hold the infinite number of passengers on the bus that just pulled up.
Number the rooms 1 through infinity then send a message to all of the tenents instructing them to double their room number and subtract 1 then move into the room with the new number.
Then all of the people on the bus can move into the empty even-numbered rooms.
2007-04-10 22:28:59 · answer #4 · answered by Anonymous · 0⤊ 0⤋
I heard this riddle, weather or not it has infinite or 3 rooms it still has 100% capacity, therfore you cannot add anything more.
2007-04-10 22:08:50 · answer #5 · answered by Anonymous · 0⤊ 0⤋
The number of occupied rooms is infinity. If you add one more customer (add 1 to infinity) the answer is still infinity. Therefore you can add more customers.
2007-04-10 22:18:36 · answer #6 · answered by jackstrobe 1 · 0⤊ 0⤋
Yes, Enumerate a countable subset of the rooms, and then have everyone in that subset move back one. The new person can then stay in room 1.
2007-04-10 22:03:57 · answer #7 · answered by Sean H 5 · 0⤊ 0⤋
Yeah, they can. Infinite means that they'll never run out of rooms...
2007-04-10 22:08:55 · answer #8 · answered by Captain Mathematica 3 · 0⤊ 0⤋
it would not have a capacity because it goes on forever
2007-04-10 22:03:06 · answer #9 · answered by NicknameThing 2 · 0⤊ 1⤋
yes.....there are only so many people in the world.
2007-04-10 22:02:27 · answer #10 · answered by Anonymous · 0⤊ 1⤋