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: 29

Answer

$495$ different sets of questions.

Work Step by Step

1) It is not a sequence of choices. 2) The order in which the questions are answered does not matter. Combination of 12 distinct questions taken 8 at a time: $_{12}C_8=\frac{12!}{8!(12-8)!}=\frac{12!}{8!\times4!}$ But, $12!=12\times11\times10\times9\times(8\times7\times6\times5\times4\times3\times2\times1)=12\times11\times10\times9\times8!$ $_{12}C_8=\frac{12\times11\times10\times9\times8!}{8!\times4!}=\frac{12\times11\times10\times9}{4\times3\times2\times1}=\frac{11880}{24}=495$
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