SOLUTION: MAT 145: Topics In Contemporary Math Permutations and Combinations 3. How many different executive committees (president, vice president, secretary, and treasurer) can be form

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Question 1190905: MAT 145: Topics In Contemporary Math
Permutations and Combinations
3. How many different executive committees (president, vice president, secretary, and treasurer) can be formed from the 20 members in a fraternity?
Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
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In this problem, each committee is an ordered quadruple of persons, according to their positions.


Therefore, we apply the formula for PERMUTATIONS.


The number of all possible different committees is  20*19*18*17 = 116280.    ANSWER

Solved.