An engagement team consists of a project manager, team leader, and four consultants. There are 5 candidates for the position of project manager, 8 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 option:
A) 850  B) 900  C) 980  D) 1000  E) 1200
Answer= Total number combinations - Total number of combinations with constraints   Total number of combinations = 5C1*8C1*7C4= 1400   Total number of combinations with constraints = 5C1*8C1*5C2=400   Answer=1400-400= 
<gadget id="calculator">1400-400</gadget>
<output>1_000</output>
1000   ANSWER: 1000
<result>D</result>
An engagement team consists of a project manager, team leader, and four consultants. There are 5 candidates for the position of project manager, 8 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?