Question

From the 7 male and 7 female sales representatives for an insurance​ company, a team of 3 men and 3 women will be selected to attend a national conference on insurance fraud. In how many ways can the team of 6 be​ selected?

Answer 1

In this question, we will use combination .

There are 7 male and 7 female representatives . Number of ways of selecting 3 men out of 7 men= 7C3=

`(7!)/(3!(7-3)!) </strong></p><p><strong>`
`=(7*6*5)/(3*2) = 35`

Number of ways of selecting 3female out of 7 female =7C3=

`(7!)/(3!(7-3)!) </strong></p><p><strong>`
`=(7*6*5)/(3*2) = 35`

So total number of ways of can the team of 6 be selected = 35+35 =70 .

So the final answer is 70 .