Hi

Note: nCx =  and nPx = 

A club has 15 students. 

a)How many different 3-member committees could the club form: 15C3

  15C3 = 15*14*13/2*3 = 2730/6 = 455

b) How many different 6-member committees could the club form:15C6

  15C6 = 15*14*13*12*11*10/2*3*4*5*6=3603600/144 =  5005

c)In how many ways can a club president,vice-president and a secretary be chosen?

 15P3 = 15*14*13 = 2730 



 

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