An engagement team consists of a project manager, two team leaders, and four consultants. There are 2 candidates for the position of project manager, 3 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?  Pick
A) 25  B) 35  C) 150  D) 210  E) 300
Answer= Total number combinations - Total number of combinations with constraints   Total number of combinations = 21501*31502*71504= 210   Total number of combinations with constraints = 21501*31502*51502=60   Answer=210-60= 
<gadget id="calculator">210-60</gadget>
<output>150</output>
150   ANSWER:150
<result>C</result>
An engagement team consists of a project manager, two team leaders, and four consultants. There are 2 candidates for the position of project manager, 3 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?