Question

Please help I have been working on this one problem for days. From the 9 male and 6 female representatives for an insurance company, a team of 4 men and 4 women will be selected to attend a conference on insurance fraud.How many ways can a team of 8 be selected?

Answer 1

so we are "choosing" 4 men from 9 and 4 women from 6
Number of ways = C(9,4) x C(6,4)
= 126(15) = 1890

Answer 2

There are C(9,4) ways to choose the men, and C(6,4) ways to choose the women.

So, there are C(9,4)*C(6,4) = 1890 ways to choose the committee.