Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 12 - Counting and Probability - Chapter Review - Review Exercises - Page 888: 11

Answer

$56$

Work Step by Step

If we want to choose $k$ elements out of $n$, disregarding the order and not allowing repetition, we use combinations: $_{n}C_k=\frac{n!}{(n-k)!k!}$ Thus we have: $_{8}C_{3}=\frac{8!}{(8-3)!3!}=\frac{8!}{5!3!}=\frac{8*7*6*5!}{5!*3*2*1}=56$
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