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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 2 trainees 1 and 2 research associates?

A 9

B 15

C 45

D 60

Solution

Correct Answer: Option C

নির্ণেয় উপায় = ³C₂ × ⁶C₂
= {(3 × 2)/(2 × 1)} × {(6 × 5)/(2 × 1)}
= 3 × 15
= 45 

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