A team of 6 cooks is chosen from 8 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 answer
A) 140 B) 320 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 * 5C4 =28*5= 
<gadget id="calculator">28*5</gadget>
<output>140</output>
140   Possible ways to make a team of 3M,3W= 8C3* 5C3 = 56*10= 
<gadget id="calculator">56*10</gadget>
<output>560</output>
560   Total possible ways= 140+560= 
<gadget id="calculator">140+560</gadget>
<output>700</output>
700   Ans 700
<result>D</result>
A team of 6 cooks is chosen from 8 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?