(a) Explanation Given: 12 people applied for an entry-level position. Explanation: 12 people applied for an entry-level position. Out of 12, 9 are qualified and 3 are not qualified. The number of ways in which 4 applicants can be hired from 12 people will be equal to the number of combinations of 12 objects taken 4 at a time, that is C ( 12 , 4 ) Use the combination formula: C ( n , r ) = n ! r ! × ( n − r ) ! Substitute n = 12 and r = 4 and simplify: C ( 12 ,</ (b) To determine The different number of ways in which 4 applicants can be hired from 9 qualified people. (c) To determine The different number of ways in which 4 applicants with at most 1 unqualified applicant can be hired from 9 qualified and 3 unqualified people. (d) To determine The different number of ways in which 4 applicants can be hired from 12 people, if the jobs are not the same.

11th Edition

ISBN: 9780321979438

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

Publisher: PEARSON

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Chapter 8, Problem 54RE

(a)

To determine

The different number of ways in which 4 applicants can be hired from 12 people.

(b)

To determine

The different number of ways in which 4 applicants can be hired from 9 qualified people.

(c)

To determine

The different number of ways in which 4 applicants with at most 1 unqualified applicant can be hired from 9 qualified and 3 unqualified people.

(d)

To determine

The different number of ways in which 4 applicants can be hired from 12 people, if the jobs are not the same.

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Chapter 8, Problem 53RE

Chapter 8, Problem 55RE

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The different number of ways in which 4 applicants can be hired from 12 people.

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The different number of ways in which 4 applicants can be hired from 12 people.

The different number of ways in which 4 applicants can be hired from 9 qualified people.

The different number of ways in which 4 applicants with at most 1 unqualified applicant can be hired from 9 qualified and 3 unqualified people.

The different number of ways in which 4 applicants can be hired from 12 people, if the jobs are not the same.

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Chapter 8 Solutions