A committee of 4 people is to be appointed from 3 officers of the production department, 4 officers of the sales department, 2 officers of the sales department, and 1 chartered accountant. Find the probability of forming the committee in the following manner: (i) There must be one from each category. (ii) It should have at least one from the purchase department.  (iii) The chartered accountant must be on the committee.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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A committee of 4 people is to be appointed from 3 officers of the production department, 4 officers of the sales department, 2 officers of the sales department, and 1 chartered accountant. Find the probability of forming the committee in the following manner:

(i) There must be one from each category.

(ii) It should have at least one from the purchase department. 

(iii) The chartered accountant must be on the committee.

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