SOLUTION: You wish to select a committee of president, vice president and secretary from a pool of 55 people. In how many ways can this committee be chosen?

Algebra ->  Permutations -> SOLUTION: You wish to select a committee of president, vice president and secretary from a pool of 55 people. In how many ways can this committee be chosen?      Log On


   

Question 585468: You wish to select a committee of president, vice president and secretary from a pool of 55 people. In how many ways can this committee be chosen?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
P(n,r) = (n!)/((n-r)!)

P(55,3) = (55!)/((55-3)!)

P(55,3) = (55!)/(52!)

P(55,3) = (55*54*53*52!)/(52!)

P(55,3) = 55*54*53

P(55,3) = 157410
So there are 157410 different ways.
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