Question

From the 10 male and 7 female sales representatives for an insurance company, a team of 4 men and 4 women will be selected to attend a national conference on insurance fraud. In how many ways can the team of 8 be selected?

Answer 1

Answer:7,350 ways

Step-by-step explanation:

Since there is no restriction in the selection , the first thing is to select the 4 men from the 10 male , this can be done in 10 C 4 ways , which

= 210 ways

Also , we will select the 4 women from the 7 females , this can be done in 7 C 4 ways , which = 35

Altogether the team of 8 can  be selected in 35 X 210 ways = 7,350 ways