Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 5 - Section 5.5 - Assess Your Understanding - Applying the Concepts - Page 306: 48

Answer

$5,527,200$ different leadership structures.

Work Step by Step

The order in which the members are selected matters and no member can be selected twice. Permutation of 50 distinct members taken 4 at a time: $_{50}P_{4}=\frac{50!}{(50-4)!}=\frac{50!}{46!}$ But, $50!=50\times49\times48\times47\times(46\times45\times44\times ... \times3\times2\times1)=50\times49\times48\times47\times46!$ $_{50}P_{4}=\frac{50\times49\times48\times47\times46!}{46!}=50\times49\times48\times47=5,527,200$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.