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In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

266
5040
11760
86400
Explanation:
Required number of ways = (8C5 x 10C6)
= (8C3 x 10C4)
= $ \left(\dfrac{8 \times 7 \times 6}{3 \times 2 \times 1} \times\dfrac{10 \times 9 \times 8 \times 7}{4 \times 3 \times 2 \times 1} \right) $
= 11760.
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