5. Of a company's personnel, 7 works in design, 14 in manufacturing, 4 in testing, 5 in sales, 2 in accounting, and 3 in marketing. A committee of 6 people is to be formed to meet with upper management. (a) How many different committees can be formed? (b) In how many ways can the committee be formed if there is to be one member from each department? (c) In how many ways can the committee be formed if there must be exactly two members from manufacturing? (d) In how many ways can the committee be formed if the accounting department is not to be represented and marketing is to have exactly one representative?

5. Of a company's personnel, 7 works in design, 14 in manufacturing, 4 in testing, 5 in sales, 2 in accounting, and 3 in marketing. A committee of 6 people is to be formed to meet with upper management. (a) How many different committees can be formed? (b) In how many ways can the committee be formed if there is to be one member from each department? (c) In how many ways can the committee be formed if there must be exactly two members from manufacturing? (d) In how many ways can the committee be formed if the accounting department is not to be represented and marketing is to have exactly one representative?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section: Chapter Questions

Problem 36RE: In a group of 5 freshman, 10 sophomores, 3 juniors, and 2 seniors, how many ways can a president,...

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