An engagement team consists of a 2 project managers, 3 team leaders, and four consultants. There are 3 candidates for the position of project manager, 4 candidates for the position of team leader, and 7 candidates for the 4 consultant slots. If 2 out of 7 consultants refuse to be on the same team, how many different teams are possible?  Answers:
A) 25	B) 35	C) 150	D) 210	E) 300
Answer= Total number combinations - Total number of combinations with constraints   Total number of combinations = 3C2*4C3*7C4= 420   Total number of combinations with constraints = 3C2*4C3*5C2=120   Answer=420-120= 
<gadget id="calculator">420-120</gadget>
<output>300</output>
300   ANSW300R: 300
<result>E</result>
An engagement team consists of a 2 project managers, 3 team leaders, and four consultants. There are 3 candidates for the position of project manager, 4 candidates for the position of team leader, and 7 candidates for the 4 consultant slots. If 2 out of 7 consultants refuse to be on the same team, how many different teams are possible?