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

Discrete Mathematics | 1st Edition | ISBN: 9781577667308 | Authors: Gary Chartrand, Ping Zhang ISBN: 9781577667308 385

Solution for problem 10 Chapter 8.5

Discrete Mathematics | 1st Edition

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Discrete Mathematics | 1st Edition | ISBN: 9781577667308 | Authors: Gary Chartrand, Ping Zhang

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?

Step-by-Step Solution:
Step 1 of 3

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...

Step 2 of 3

Chapter 8.5, Problem 10 is Solved
Step 3 of 3

Textbook: Discrete Mathematics
Edition: 1
Author: Gary Chartrand, Ping Zhang
ISBN: 9781577667308

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

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