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Suppose the Troy school board has 7 members. The board must have three officers: a chairperson,...

Suppose the Troy school board has 7 members. The board must have three officers: a
chairperson, an assistant chairperson, and a secretary

i.

How many different sets of officers can be formed?

ii.

How many different 3-person committees can be formed from a 7-member group?

math   Statistics-And-Probability   
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Answer #1

3 persons from 7 can be selected in 7C3 ways

i)

hence possible set of different officers are 7C3 = 35

ii)

Total 35 committees can be formed from a 7 member group

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