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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  ?


Options:
A .  266
B .  5040
C .  11760
D .  86400
E .  None of these
Answer: Option C

Required number of ways = `( 8 _( C _ 5) xx 10 _ (C _ 6))`

=`( 8_ (C_ 3) xx 10 _ (C _ 4))`

= `((8 xx 7 xx 6)/(3 xx 2 xx 1) xx (10 xx 9 xx 8 xx 7)/(4 xx 3 xx 2 xx 1))`

= 11760.



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