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diracdelta

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## Homework Statement

Out of 7 women and 4 men you need to choose delegation.

On how many ways you can choose delegation that consist of:

a) five people - 3 women and 2 men

b)any number of people, but with equal number of men and women

c) five people with at least 3 women

d) five peope where one member is decided to be women

This is my attempt. I don't know d) part, help please :)

[tex]a) \binom{7}{3}\binom{4}{2}=210\\ b)\binom{7}{1}\binom{4}{1} + \binom{7}{2}\binom{4}{2}+ \binom{7}{3}\binom{4}{3} + \binom{7}{4}\binom{4}{0}=329\\ c) \binom{7}{2}\binom{4}{3} + \binom{7}{3}\binom{4}{2} + \binom{7}{4}\binom{4}{1} + \binom{7}{5}\binom{4}{0}[/tex]