Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 11 - Counting Methods and Probability Theory - 11.3 Combinations - Exercise Set 11.3 - Page 708: 55



Work Step by Step

The number of possible combinations if r items are taken from n items is nCr =$\frac{n!}{r!(n-r)!}$ We find how many ways a chef can mix three brands of hot sauce when he has 5 brands to choose from. = 5C3 x 1! =$\frac{5!}{(5-3)!3!}$ =$\frac{5*4*3!}{3!2!}$ =$\frac{5*4}{2*1}$ = 10 ways
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