A club with 8 members elects a president, treasurer, and a secretary. How many ways can...

A club with 8 members elects a president, treasurer, and a secretary. How many ways can these positions be filled?
the club also forms a xommitee of 4 members, chosen from the entire membership including the new officers. How many possible different committees can be formed?

Solutions

Expert Solution

A club has eight members. There are total 3 positions a president , treasurer and a secretary is elected from the eight members.

Total number of ways by which three positions can be filled = 8p₃

= 6,720

The club also form a committee of four members, chosen from the entire membership including new officers.

Total number of ways possible different committee can be formed = 8C₄ = 70

A club has eight members. There are total 3 positions a president , treasurer and a secretary is elected from the eight members.

milcah answered 8 months ago

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