College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 9, Counting and Probability - Section 9.1 - Counting - 9.1 Exercises - Page 659: 89

Answer

17813250

Work Step by Step

The amount of ways to choose 6 semifinalists from 30 contestants is $30C6 = 593775$. Then, to choose 2 finalists from those 6 finalists, there are $593775 \times 6C2 = 8906625$ ways. Finally, to choose 1 winner, there are $8906625 \times 2C1 = 17813250$ ways.
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