Answer
(a) $3003$
(b) $ 20475$
(c) $ 16653$
Work Step by Step
(a) Use the combination formula, we have $C(15,5)=3003$
(b) $C(15,3)C(10,2)=20475$
(c) $C(15,5)+C(15,4)C(10,1)=3003+(1365)(10)=16653$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 12 - Counting and Probability - Section 12.2 Permutations and Combinations - 12.2 Assess Your Understanding - Page 876: 54
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