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Question

In how  many ways can a group of 5 men and 2 women  be made out of a total of 7 men and 3 women  ?


Options:
A .  63
B .  90
C .  126
D .  45
E .  135
Answer: Option A

Required number of ways  = `(7_ (C_ 5) xx 3_ (C _2))`

=`(7_ (C_ 2) xx 3_ (C _1))`

= `((7 xx 6)/(2 xx 1) xx 3)` = 63.



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