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

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

[A].

266

[B].

5040

[C].

11760

[D].

86400

Answer: Option C

Explanation:

Required number of ways = (8C5 x 10C6)
= (8C3 x 10C4)
= 8 x 7 x 6 x 10 x 9 x 8 x 7
3 x 2 x 1 4 x 3 x 2 x 1
= 11760.