A committee has fourteen members. There are three members that currently serve as the​ board's chairman, ranking member, and treasurer. Each member is equally likely to serve in any of the positions. Three members are randomly selected and assigned to be the new chairman, ranking member, and treasurer. What is the probability of randomly selecting the three members who currently hold the positions of chairman, ranking member, and treasurer and reassigning them to their current​ positions? What is The probability?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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A committee has fourteen members. There are three
members that currently serve as the​ board's chairman,
ranking member, and treasurer.
Each member is equally likely to serve in any of the positions.
Three members are randomly selected and assigned to be the new
chairman, ranking member, and treasurer.
What is the probability of randomly selecting the
three members who currently hold the positions of
chairman, ranking member,
and treasurer and reassigning them to their current​ positions?
What is The probability?
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