A committee of four is to be selected from a group of seventeen people. How many different committees are possible, given the following conditions? (a) There is no distinction between the responsibilities of the members.   (b) One person is the chair, and the rest are general members.   (c) One person is the chair, one person is the secretary, one person is responsible for refreshments, and one person cleans up after meetings.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A committee of four is to be selected from a group of seventeen people. How many different committees are possible, given the following conditions?

(a) There is no distinction between the responsibilities of the members.
 

(b) One person is the chair, and the rest are general members.
 

(c) One person is the chair, one person is the secretary, one person is responsible for refreshments, and one person cleans up after meetings.
 
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