There are 45 different time periods during which each class at a university can be scheduled. If there are 200 different classes, how many different rooms will be needed? b) A computer network consists of six computers. Each computer is connected to zero or more of the other computers. Show that there are at least two computers in the network that are directly connected to the same number of other computers. c) Given A = {1,2,3,4,5,6,7,8,9,10}, show that if you pick 5 number from A, the sum of two of them is exactly 13.
There are 45 different time periods during which each class at a university can be scheduled. If there are 200 different classes, how many different rooms will be needed? b) A computer network consists of six computers. Each computer is connected to zero or more of the other computers. Show that there are at least two computers in the network that are directly connected to the same number of other computers. c) Given A = {1,2,3,4,5,6,7,8,9,10}, show that if you pick 5 number from A, the sum of two of them is exactly 13.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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There are 45 different time periods during which each class at a university can be scheduled. If there are 200 different classes, how many different rooms will be needed?
b) A computer network consists of six computers. Each computer is connected to zero or more of the other computers. Show that there are at least two computers in the network that are directly connected to the same number of other computers.
c) Given A = {1,2,3,4,5,6,7,8,9,10}, show that if you pick 5 number from A, the sum of two of them is exactly 13.
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