A team of 6 cooks is chosen from 8 men and 6 women. The team must have at least 2 men and at least 3 women. How many ways can this team be created?	Choose the most appropriate option:  A) 1540  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 * 6C4 =28*15= 
<gadget id="calculator">28*15</gadget>
<output>420</output>
420   Possible ways to make a team of 3M,3W= 8C3* 6C3 = 56*20= 
<gadget id="calculator">56*20</gadget>
<output>1_120</output>
1120   Total possible ways= 420+1120= 
<gadget id="calculator">420+1120</gadget>
<output>1_540</output>
1540   1540ns 1540 it is.
<result>A</result>
A team of 6 cooks is chosen from 8 men and 6 women. The team must have at least 2 men and at least 3 women. How many ways can this team be created?