From the 10 male and 8 female sales representatives for an insurance company, a team of 4 men and 3 women will be selected to attend a national conference on insurance fraud.

In how many ways can the team of 7 be selected

We have to find in how many ways can the team of 7 be selected if we choose 4 men from the 10 and 3 women from the 8:

n = 4C10 * 3C8 =

= [ (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1) ] * [ (8 * 7 * 6) / (3 * 2 * 1) ] =

= 5040 / 24 * 336 / 6 = 210 * 56 = 11,760

Answer:

The team of 7 can be selected in 11,760 ways.