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In how many different ways can a committee of 8 persons be formed out of 5 men and 3 women?

Question

In how many different ways can a committee of 8 persons be formed out of 5 men and 3 women?

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Solution

The committee of 8 persons can be formed from 5 men and 3 women in only one way. This is because the total number of people available (5 men + 3 women = 8 people) is exactly the same as the total number of people needed for the committee (8 people). Therefore, there is only one possible combination: all 5 men and all 3 women must be on the committee.

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