Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 5 - Section 5.6 - Assess Your Understanding - Applying the Concepts - Page 312: 23

Answer

$220$ different ways.

Work Step by Step

1) It is not a sequence of choices. 2) The order in which the colleges are selected does not matter. It is a combination of 12 distinct colleges taken 3 at a time: $_{12}C_3=\frac{12!}{3!(12-3)!}=\frac{12!}{3!\times9!}$ But, $12!=12\times11\times10\times(9\times8\times7\times6\times5\times4\times3\times2\times1)=12\times11\times10\times9!$ $_{12}C_3=\frac{12\times11\times10\times9!}{3!\times9!}=\frac{12\times11\times10}{3\times2\times1}=\frac{1320}{6}=220$
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