An engagement team consists of a project manager, team leader, 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? Choose the correct choice from the following options
A) 25  B) 35  C) 150  D) 210  E) 300
Answer= Total number combinations - Total number of combinations with constraints   Total number of combinations = 3C1*4C1*7C4= 420   Total number of combinations with constraints = 3C1*4C1*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 project manager, team leader, 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?