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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?

Respuesta :

Riia

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=

[tex] \frac{7!}{3!(7-3)!}

[/tex][tex] =\frac{7*6*5}{3*2} = 35 [/tex]

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

[tex] \frac{7!}{3!(7-3)!}

[/tex][tex] =\frac{7*6*5}{3*2} = 35 [/tex]

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

So the final answer is 70 .

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