A team of 6 cooks is chosen from 7 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?
Choose the correct choice from the following:  A) 140  B) 320  C) 560  D) 455  E) 840
Only possible combinations are a team of 2M, 4 W or 3M,3W.   Possible ways to make a team of 2M,4W = 7C2 * 5C4 =21*5= 
<gadget id="calculator">21*5</gadget>
<output>105</output>
105   Possible ways to make a team of 3M,3W= 7C3* 5C3 = 35*10= 
<gadget id="calculator">35*10</gadget>
<output>350</output>
350   Total possible ways= 105+350= 
<gadget id="calculator">105+350</gadget>
<output>455</output>
455   Ans 455 it is.
<result>D</result>
A team of 6 cooks is chosen from 7 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?