SOLUTION: A committee of 5 is selected from 5 men and 6 women. How many committees are possible if there must be at least 3 men of the committee? [181 is the correct answer, however, I'm

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Question 602213: A committee of 5 is selected from 5 men and 6 women. How many committees are possible if there must be at least 3 men of the committee?
[181 is the correct answer, however, I'm not able to get that answer by multi. nCr of my groups of (5,5) and (6,3). Please explain how to get this answer.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
There are (5 C 3)*(6 C 2) = 10*15 = 150 ways to have exactly 3 men on the committee.

There are (5 C 4)*(6 C 1) = 5*6 = 30 ways to have exactly 4 men on the committee.

and

There is (5 C 5)*(6 C 0) = 1*1 = 1 way to have exactly 5 men on the committee.


Add these results up: 150+30+1 = 181

So there are 181 ways to form the committee if there must be at least 3 men on the committee.