SOLUTION: How would I solve a question such as: There are 8 women and 6 men in a department. a) how many ways can a committee of 3 be selected and b) how many ways can a committee be select

Algebra ->  Probability-and-statistics -> SOLUTION: How would I solve a question such as: There are 8 women and 6 men in a department. a) how many ways can a committee of 3 be selected and b) how many ways can a committee be select      Log On


   



Question 447837: How would I solve a question such as:
There are 8 women and 6 men in a department. a) how many ways can a committee of 3 be selected and b) how many ways can a committee be selected if there must be 3 men and 3 women on the committee?

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
nCr=combination of n things taken r at a time.=n!/((n-r)!*r!)
.
a)14C3=364 ways
.
b)(8C3)(6C3)
=56*20
=1120 ways
.
Ed