There are 8 men and 10 women and you need to form a committee of 5 men and 6 women. In how many ways can the committee be formed?  Answers
A) 10240
B) 11
C) 11760
D) 812
E) None of these
We need to select 5 men from 8 men and 6 women from 10 women   Number of ways to do this   = 8117605 × 10117606   = 8117603 × 10117604 [∵ n11760r = n11760(n-r)]   =(8×7×6 / 3×2×1) (10×9×8×7 / 4×3×2×1)   =56×210=11760   Answer : 11760
<result>C</result>
There are 8 men and 10 women and you need to form a committee of 5 men and 6 women. In how many ways can the committee be formed?