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# A total of 5 seniors, 3 juniors and 4 sophomores have volunteered to serve on a 4-person

ISBN: 9781577667308 385

## Solution for problem 10 Chapter 8.5

Discrete Mathematics | 1st Edition

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Problem 10

A total of 5 seniors, 3 juniors and 4 sophomores have volunteered to serve on a 4-person committee. How many committees are possible if (a) there is no other restriction on membership for the committee? (b) at least one senior, one junior and one sophomore must serve on the committee? (c) at least 3 seniors must serve on the committee? (d) at least one senior must serve on the committee?

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Chapter 3.1 Counting Problem – has n stages, and m outcomes at every nth stage; m may vary with each stage Counting Technique – r stages, w1th n possibilities fo2 stage 1, n possibilities for stage 2, etc. Total number of possibilities is 1n 2⋯∗n r Tree Diagram – example below Birthday Problem: How many people do we need to have in a room to make it a favorable...

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