A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many different ways can this be done, if the committee should have 4 professors and 1 research associate or all 3 trainees and 2 professors?
A. 12
B. 13
C. 24
D. 52
Answer: Option A
Solution (By Examveda Team)
Five members team with 4 professors and 1 research associate can be selected in= 4C4×6C1=1×6=6 ways
Vive members team with 3 trainees and 2 professors can be selected
in = 3C3×4C2=1×6=6 ways
Total number of required ways = 6 + 6 = 12
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