In how many ways a team of 11 must be selected a team 5 men and 11 women such that the team must comprise of not more than 3 men.  Pick
A) 22399
B) 2256
C) 2700
D) 279078
E) 2911
Maximum 3 men can be played which means there can be 0, 1, 2, 3 men in the team.   (5C0×11C11)+(5C1×11C10)+(5C2×11C9)+(5C3×11C8)=2256(5C0×11C11)+(5C1×11C10)+(5C2×11C9)+(5C3×11C8)=2256   Answer:2256
<result>B</result>
In how many ways a team of 11 must be selected a team 5 men and 11 women such that the team must comprise of not more than 3 men.