Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Test - Page 1127: 20

Answer

$210$

Work Step by Step

$^{10}C_{4}=\dfrac{10! }{(10-4)!}$ We know that $ n!=1 \cdot 2 \cdot 3 .....(n-1)n $ Thus, we have $\dfrac{10! }{(10-4)!}$ $= \dfrac{10 \cdot 9\cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 \times 2 \cdot 1 }$ $=210$
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