Answer
$\approx 6.095\times 10^{10}$
Work Step by Step
Batting orders (arrangements) are permutations of r=9 taken from n=20 players.
$ P(20,9)=\displaystyle \frac{20!}{(20-9)!}=6.09493248\times 10^{10}\quad$(calculator)
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 11 - Further Topics in Algebra - 11.6 Basics of Counting Theory - 11.6 Exercises - Page 1062: 50
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