The committee should consist of 2 students, 2 teachers and 1 sports coach?

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Solution

The correct option is D 36
Required number of combinations
$=^{4} C_{2} \times^{3} C_{2} \times^{2} C_{1} = \frac{4 \times 3}{2} \times \frac{3 \times 2}{2} \times 2 = 6 \times 3 \times 2 = 36$

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The committee should consist of 2 students, 2 teachers and 1 sports coach?

The correct option is D 36Required number of combinations =4C2×3C2×2C1=4×32×3×22×2=6×3×2=36

The correct option is D 36
Required number of combinations
$=^{4} C_{2} \times^{3} C_{2} \times^{2} C_{1} = \frac{4 \times 3}{2} \times \frac{3 \times 2}{2} \times 2 = 6 \times 3 \times 2 = 36$