Question

There are nine men and ten women in a club; in how many ways can a committee of four be formed to include at most 2 women?
please help me im having so many issues with this assignment, message me if you can help me with the 10 problems i cant figure out but this is the first.

Answer 1

at most two women means
zero women \(\binom{9}{4}\) or
one woman , three men \(\binom{9}{3}\binom{10}{1}\) or
two women two men \(\binom{9}{2}\binom{10}{2}\)

Answer 2

compute those, then add them up

Answer 3

HI!!

Answer 4

@satellite73 is using \(\binom{n}{k}\) it is the same as \(_nC_k\)