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?
Homework Answers
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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