Explanation Given information: Given, the committee consists of 9 members and need to choose a chairperson and a secretary Calculation: The number of arrangements or permutations of n distinct times chosen r at a time is given by P n r All the members of the committee are distinct. So for choosing a chairperson and a secretary from the committee, permutation of 9 members chosen 2 at a time is required. Here n = 9 , r = 2 Plugging the values in the equation, P n r = P 9 2 P n r = 9 ! ( 9 − 2 ) ! (Since P n r = n ! (

1st Edition

ISBN: 9780134654409

Author: Martin-Gay, K. Elayn, 1955-

Publisher: Pearson,

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Chapter 7.2, Problem 31ES

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To determine the number of ways a 9-member committee chooses a chairperson and a secretary given that no person can hold both positions.

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Chapter 7.2, Problem 30ES

Chapter 7.2, Problem 32ES

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the number of ways a 9-member committee chooses a chairperson and a secretary given that no person can hold both positions.

Solution Summary: The author explains how the number of ways a 9-member committee chooses the chairperson and the secretary is 72.

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To determine the number of ways a 9-member committee chooses a chairperson and a secretary given that no person can hold both positions.

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Chapter 7 Solutions