A company has 5 officers and 4 directors (9 different people). In how many ways can a committee of 4 be selected from these 9 people so that the following hold? (a) 2 members are officers and 2 are directors. ways (b) 3 members are officers and 1 is a director. ways (c) All the members are officers. ways (d) There are no restrictions. ways

A company has 5 officers and 4 directors (9 different people). In how many ways can a committee of 4 be selected from these 9 people so that the following hold? (a) 2 members are officers and 2 are directors. ways (b) 3 members are officers and 1 is a director. ways (c) All the members are officers. ways (d) There are no restrictions. ways

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

A company has 5 officers and 4 directors (9 different people). In how many ways can a committee of 4 be selected from these 9 people so that the following hold?

(a) 2 members are officers and 2 are directors.
ways

(b) 3 members are officers and 1 is a director.
ways

(c) All the members are officers.
ways

(d) There are no restrictions.
ways

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