Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 2 - Section 2.4 - Sequences and Summations - Exercises - Page 170: 46

Answer

$\Pi_{j=0}^{4} j !=288$

Work Step by Step

$\Pi_{j=0}^{4} j !$ = product of all factorials from 0 to 4 $=(0 !)(1 !)(2 !)(3 !)(4 !)$ $=1 \times 1 \times 2 \times 1 \times 3 \times 2 \times 1 \times 4 \times 3 \times 2 \times 1$ =288 Result: $\Pi_{j=0}^{4} j !=288$
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