Quantitative Aptitude :: Permutations Problems And Answers

6. A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?

A. 12C7 = 10C7 B. 10C5 = 12C7
C. 12C5 = 12C5 D. 12C5 = 12C7
Answer & Explanation

Answer: Option D

Explanation:
Here, five seniors out of 12 seniors can be selected in 12C5 ways. Also, five juniors out of ten juniors can be selected 10C5 ways. Hence the total number of different ways of selection
= 12C5 x 10C5 = 12C7 x 10C5
= 12C5 = 12C7


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