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Permutation and Combination

Q1:

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

E None of these

ANS:C - 11760

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.



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