SOLUTION: A department contains 15 men and 18 women. How many ways are there to form a committee with 6 members if it must have strictly more women than men?

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Question 360041: A department contains 15 men and 18 women.
How many ways are there to form a committee with 6 members if it must have strictly more women than men?
Found 2 solutions by edjones, sudhanshu_kmr:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Check question 359346 or answer 256434 to see how a very similar problem was solved.
Ed

Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!
Possible no. of women and men in a committee are
women men
6 .... 0
5 .... 1
4 .... 2

total no. of ways = 18C6 * 15C0 + 18C5 * 15C1 + 18C4 * 15C2