A department had 8 male and female employees each. A project team involving 3 male and 3 female members needs to be chosen from the department employees. How many different project teams can be chosen?

112896

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3136

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720

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112

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Solution

The correct option is B 3136
(B) $^{8} C_{3} \times^{8} C_{3} = \frac{8 \times 7 \times 6}{3 \times 2} \times \frac{8 \times 7 \times 6}{3 \times 2}$
$= 56 \times 56 = 3136$

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A department had 8 male and female employees each. A project team involving 3 male and 3 female members needs to be chosen from the department employees. How many different project teams can be chosen?

The correct option is B 3136(B) 8C3×8C3=8×7×63×2×8×7×63×2=56×56=3136

The correct option is B 3136
(B) $^{8} C_{3} \times^{8} C_{3} = \frac{8 \times 7 \times 6}{3 \times 2} \times \frac{8 \times 7 \times 6}{3 \times 2}$
$= 56 \times 56 = 3136$