Solution Found!
Suppose that Hilbert’s Grand Hotel is fully occupied, but
Chapter 2, Problem 6E(choose chapter or problem)
Problem 6E
Suppose that Hilbert’s Grand Hotel is fully occupied, but the hotel closes all the even numbered rooms for maintenance. Show that all guests can remain in the hotel.
Questions & Answers
QUESTION:
Problem 6E
Suppose that Hilbert’s Grand Hotel is fully occupied, but the hotel closes all the even numbered rooms for maintenance. Show that all guests can remain in the hotel.
ANSWER:
Solution:
Step 1 :
In this problem in the Hilbert’s Grand Hotel is fully occupied, but the hotel closes all the even numbered rooms for maintenance then we have to prove that all guests can remain in the hotel.
Given in the problem by closing even numbered rooms,
Then we have the rooms number {1,3,5……}
All available room numbers are in the form of ,