SOLUTION: A committee of five people is to be selected from a group of 6 men and 3 women, the committee should have at least 2 women. - How many different ways are there of selecting the co

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Question 456965: A committee of five people is to be selected from a group of 6 men and 3 women, the committee should have at least 2 women.
- How many different ways are there of selecting the committee?
- would there be a difference if the order of selection is considered and the order not considered?
kindly assist, i have tried to figure it out, but my confusion is the clause atleat 2 women, i tried to solve this as 6c3, as in 6 combination 3, but the word atleast 2women is where my confusion is. And also i do not think the order of selection matters, but i also need your opinion.
Thank you.
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
(3C3 * 6C2) + (3C2) * 6C3)
= 15 + 3*20
=75 ways
.
If order of selection were considered there would be many more ways.
.
Ed