Question

The committee should have 2 trainees and 3 research associates?

• A. 15
• B. 45
• C. 60
• D. 9
• E. None of these

Answer 1

The correct option is C 60

Number of combinations = Selecting 2 trainees out of 3 and selecting 3 research associates out of 6
${=}^3{C}_2{\times }^6{C}_3=3\times \frac{6\times 5\times 4}{1\times 2\times 3}=60$