Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 11 - Section 11.4 - Partial Sums of Arithmetic and Geometric Sequences - Exercise Set: 50

Answer

$40,320$

Work Step by Step

The given expression, $ 8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1 ,$ simplifies to \begin{array}{l}\require{cancel} 56\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1 \\\\= 336\cdot5\cdot4\cdot3\cdot2\cdot1 \\\\= 1,680\cdot4\cdot3\cdot2\cdot1 \\\\= 6,720\cdot3\cdot2\cdot1 \\\\= 20,160\cdot2\cdot1 \\\\= 40,320\cdot1 \\\\= 40,320 .\end{array}
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