SOLUTION: A club has 15 students. Anserw the follow. Show steps. a)How many different 3-member committees could the club form? b) How many different 6-member committees could the club fo

Algebra ->  Probability-and-statistics -> SOLUTION: A club has 15 students. Anserw the follow. Show steps. a)How many different 3-member committees could the club form? b) How many different 6-member committees could the club fo      Log On


   

Question 411067: A club has 15 students. Anserw the follow. Show steps.
a)How many different 3-member committees could the club form?
b) How many different 6-member committees could the club form?
c)In how many ways can a club president,vice-president and a secretary be chosen?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Note: nCx = n%21%2F%28x%21%28n-x%29%21%29 and nPx = n%21%2F%28n-x%29%21%29

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