. 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?  Options:  A) 10420  B) 11  C) 11760  D) 11640  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?