Quantitative Aptitude :: Permutation and Combination - Discussion
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Choose the correct option.
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?
A63
B90
C126
D45
E135
Answer: Option (Login/Signup)
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Total 7 men and 3 women
5 men can be selected from 7 men in 7C5 ways
2 women can be selected from 3 women in 3C2 ways
So 7C5*3C2= 63 ways.
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STEP-BY-STEP
number of ways of selecting men are 7C5
number of ways of selecting women are 3C2
7C5*3C2=(7!/(5!*2!))*(3!/2!)=21*3=63
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STEP-BY-STEP
Total 7 men and 3 women
5 men can be selected from 7 men in 7C5 ways
2 women can be selected from 3 women in 3C2 ways
So 7C5*3C2= 63 ways.
Read Full Answer
Report Error
Please Login First Click Here