In how many ways a team of 11 must be selected from 5 men and 11 women such that the team must comprise of not more than 3 men?
Choose the correct choice from the following options:  A) 2256  B) 2377  C) 2797  D) 2672  E) 1991
Ans: C   Explanation;   The team may consist of 0 men + 11 women, 1 men + 10 women, 2 men + 9 women, or 3 men + 8 women.   So Number of ways are = 11C11+5C1×11C10+5C2×11C9+11C11+5C1×11C10+5C2×11C9+5C3×11C85C3×11C8   = 2256   2256nswer:2256
<result>A</result>
In how many ways a team of 11 must be selected from 5 men and 11 women such that the team must comprise of not more than 3 men?