## anonymous one year ago In how many ways can a committee consisting of 2 men and at least 2 women be chosen from 4 men and 3 women?

1. anonymous

two men and at least 2 women means a) two men and two women b) two men and three women we can compute each

2. anonymous

2 men, 2 women $\binom{4}{2}\times \binom{3}{2}$i.e "four choose two times three choose two

3. anonymous

2 men, 3 women $\binom{4}{2}\times \binom{3}{3}$ which is just $$\binom{4}{2}$$ since three choose 3 is 1

4. anonymous

you know how to compute these?

5. anonymous

no

6. anonymous

have you seen "n choose k" sometimes written as $_nC_k$ or $\binom{n}{k}$?

7. anonymous

yes

8. anonymous

9. anonymous

Could you pls help me to get answers for those questions

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