A team of 6 cooks is chosen from 9 men and 5 women. The team must have at least 2 men and at least 3 women. How many ways can this team be created?  Choices:
A) 140
B) 320
C) 560
D) 700
E) 1020
Only possible combinations are a team of 2M, 4 W or 3M,3W.   Possible ways to make a team of 2M,4W = 9C2 * 5C4 =36*5= 
<gadget id="calculator">36*5</gadget>
<output>180</output>
180   Possible ways to make a team of 3M,3W= 9C3* 5C3 = 84*10= 
<gadget id="calculator">84*10</gadget>
<output>840</output>
840   Total possible ways= 180+840= 
<gadget id="calculator">180+840</gadget>
<output>1_020</output>
1020   Ans 1020 it is.
<result>E</result>
A team of 6 cooks is chosen from 9 men and 5 women. The team must have at least 2 men and at least 3 women. How many ways can this team be created?