A team of 6 cooks is chosen from 8 men and 4 women. The team must have at least 2 men and at least 3 women. How many ways can this team be created?  Choose the correct choice from the following:
A) 140  B) 252  C) 560  D) 700  E) 840
Only possible combinations are a team of 2M, 4 W or 3M,3W.   Possible ways to make a team of 2M,4W = 8C2 * 4C4 =28*1= 
<gadget id="calculator">28*1</gadget>
<output>28</output>
28   Possible ways to make a team of 3M,3W= 8C3* 4C3 = 56*4= 
<gadget id="calculator">56*4</gadget>
<output>224</output>
224   Total possible ways= 28+224= 
<gadget id="calculator">28+224</gadget>
<output>252</output>
252   Ans 252 it is.
<result>B</result>
A team of 6 cooks is chosen from 8 men and 4 women. The team must have at least 2 men and at least 3 women. How many ways can this team be created?