contestada

From the 11 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
select
In how many ways can the team of 6 be selected?

Respuesta :

Ashraf82

In 5,775 ways the team of 6 can be selected

Step-by-step explanation:

The given is:

  • There are 11 male and 7 female
  • A team of 3 men and 3 women will be  selected

We need to find in how many ways the team of 6 can be selected

∵ There are 11 male

∵ We need to chose 3 of them

- Use the combination nCr, where n is the total number and r is the

  number of choices

∴ 11C3 = [tex]\frac{(11)(10)(9)}{(3)(2)(1)}[/tex]

∴ 11C3 = 165

∵ There are 7 female

∵ We need to chose 3 of them

∴ 7C3 = [tex]\frac{(7)(6)(5)}{(3)(2)(1)}[/tex]

∴ 7C3 = 35

∵ The number of ways of the team of 6 = 11C3 * 7C3

∴ The number of ways of the team of 6 = 165 × 35

∴ The number of ways of the team of 6 = 5,775

In 5,775 ways the team of 6 can be selected

Learn more:

You can learn more about permutations in brainly.com/question/10525991

#LearnwithBrainly

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