Question 411067
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Hi
Note: nCx = {{{n!/(x!(n-x)!)}}} and nPx = {{{n!/(n-x)!)}}}
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