Quantitative Aptitude Ques 2035

Question: A committee of five members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many different ways this can be done, if the committee should have all the 4 professors and 1 research associate or all 3 trainees and 2 professors?

Options:

A) 15

B) 18

C) 25

D) 12

E) Other than those given as options

Show Answer

Answer:

Correct Answer: D

Solution:

  • Required number of ways $ ={}^{4}C _4\times {}^{6}C _1+{}^{3}C _3\times {}^{4}C _2 $ $ =1\times 6+1\times 6=12 $
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