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A four-member committee that consists of a President, Vice-President, Treasurer and Secretary is to be chosen...

A four-member committee that consists of a President, Vice-President, Treasurer and Secretary is to be chosen from 8 parents and 9 students. Determine the probability that at least two students will be chosen.

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Answer #1

4 persons from 17 can be selected and ordered in 17P4 ways

probability = (9C2*8C2*4! + 9C3*8C1*4! + 9C4*4!)/17P4

= 0.7588

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