In how many ways, can a group of 5 men and 2 women be made out of a total of 7 men and 3 women? Option 1: 36 Option 2: 47 Option 3: 74 Option 4: 63

Answer: 63. Solution: Choose 5 men from 7 and 2 women from 3: ^7C_5x^3C_2=21x3=63.

Quantitative Reasoning

Permutation & Combination

Easy

In how many ways, can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

✅ Correct Option: 4

Choose 5 men from 7 and 2 women from 3:

$^7C_5\times{}^3C_2=21\times3=63$ .

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In how many ways, can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

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