Quantitative Aptitude :: Permutations Problems And Answers

5. A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?

A. 300 B. 600
C. 450 D. 750
Answer & Explanation

Answer: Option B

Explanation:
The number of ways of selecting three men, two women and three children is: 
= 4C3 x 6C2 x 5C3  
= (4 x 3 x 2)/(3 x 2 x 1) x (6 x 5)/(2 x 1) x (5 x 4 x 3)/(3 x 2 x 1) 
= 4 x 15 x 10 
= 600 ways.


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