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# Give an example of a problem involving students serving on a committee whose solution

ISBN: 9781577667308 385

## Solution for problem 12 Chapter 8.5

Discrete Mathematics | 1st Edition

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Problem 12

Give an example of a problem involving students serving on a committee whose solution has the answer [C(6, 3)]2 + [C(6, 2)]3 + [C(6, 1)]2 C(6, 4) + C(6, 6) = 400 + 3375 + 540 + 1 = 4316.

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Clever​ ​Counting Basic​ ​Counting​ ​Law/Multiplication​ ​Principle:​ ​​If​ ​there​ ​are​ ​M​ ​ways​ ​to​ ​perform​ ​a​ ​task,​ ​and N​ ​ways​ ​to​ ​perform​ ​a​ ​second​ ​task,​ ​then​ ​there​ ​are​ ​N​ ​x​ ​M​ ​ways​ ​to​ ​perform​ ​the​ ​tasks​ ​in succession. Ex.​ ​Dress​ ​Susie:​ ​Susie​ ​has​ ​3​ ​shirts​ ​and​ ​2​ ​pairs​ ​of​ ​pants​ ​and​ ​they​ ​all​ ​coordinate. How​ ​many​...

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