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Quantitative Aptitude

Derangement

The committee...

Question

The committee should have 2 trainees and 3 research associates?

A

15

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B

45

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C

60

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D

9

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E

None of these

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Solution

The correct option is C 60
Number of combinations = Selecting 2 trainees out of 3 and selecting 3 research associates out of 6
$=^{3} C_{2} \times^{6} C_{3} = 3 \times \frac{6 \times 5 \times 4}{1 \times 2 \times 3} = 60$

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