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hjlf
2 years ago
5

We form a committee of 8 people, to be chosen from 15 women and 12 men. (a) How many possible committee can be formed

Mathematics
1 answer:
eimsori [14]2 years ago
3 0

Using the combination formula, it is found that 2,220,075 committees can be formed.

The order in which the people are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

<h3>Combination formula: </h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem, 8 people are chosen from a set of 12 + 15 = 27, hence:

C_{27,8} = \frac{27!}{8!19!} = 2220075

2,220,075 committees can be formed.

To learn more about the combination formula, you can take a look at brainly.com/question/25821700

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