Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 6 - Section 6.4 - Permutations and Combinations - Exercises - Page 439: 69

Answer

(A) 5

Work Step by Step

Overall there are $C(7,4)=42$ selections. The number of selections that contain neither Ben nor Ann is $C(5,4)$ Because there are five contestants other than Ben and Ann, of which 4 semifinalists are to be selected. $C(5,4)=5$ Therefore there are 5 such selections, A is the correct answer.
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