Answered: a)Bob has 5 homework assignments, but…

a)Bob has 5 homework assignments, but has time to do only 3 of them. In how many ways can Bob choose 3 homework assignments?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Answer the following questions. Give justifications and explanations
when needed.

a)Bob has 5 homework assignments, but has time to do only 3 of them. In how many ways can Bob
choose 3 homework assignments?
b) Show that if 6 integers are chosen at random, at least two numbers will have the same remainder
when divided by 5. Use pigeonhole principle.
c) How many unordered selections of three elements can be made from the set {a, b, c, d, e, f}?

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