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?	Choose the correct choice: A) 11660 B) 11700 C) 11760 D) 11800 E) 11850
Explanation:   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   Option 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?