(a) Explanation Given: The number of people in the first department = 7. The number of people in the second department = 5. The number of people in the third department = 4. Explanation: Ways to select one representative from the first department are C ( 7 , 1 ) = 7 ! ( 7 − 1 ) ! ⋅ 1 ! = 7 ⋅ 6 ! 6 ! ⋅ 1 = 7 Ways to select one representative from the second department are C ( 5 , 1 ) = 5 ! ( 5 − 1 ) ! ⋅ 1 ! = 5 ⋅ 4 ! 4 ! ⋅ 1 = (b) To determine The number of groups that can be formed with any number (at least 1) up to three representatives and the number of people selected from each group is at most 1.

11th Edition

ISBN: 9780321979438

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 8, Problem 22RE

(a)

To determine

The number of different groups of three representatives possible.

(b)

To determine

The number of groups that can be formed with any number (at least 1) up to three representatives and the number of people selected from each group is at most 1.

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Chapter 8, Problem 21RE

Chapter 8, Problem 23RE

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Chapter 8 Solutions

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The number of different groups of three representatives possible.

Solution Summary: The author explains that the possible number of different groups of three representatives is 'underset' 140.

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The number of different groups of three representatives possible.

The number of groups that can be formed with any number (at least 1) up to three representatives and the number of people selected from each group is at most 1.

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