SOLUTION: In how many ways can you select 4 delegates to attend a seminar from 4 supervisors, 3 managers, and 3 assistant managers if 2 of the delegates are supervisor?

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Question 1017685: In how many ways can you select 4 delegates to attend a seminar from 4 supervisors, 3 managers, and 3 assistant managers if 2 of the delegates are supervisor?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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In how many ways can you select 4 delegates to attend a seminar from 4 supervisors, 3 managers,
and 3 assistant managers if 2 of the delegates are supervisor?
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Let me re-formulate the problem in a way how it should be formulated:

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"In how many ways can you select 4 delegates to attend a seminar from 4 supervisors, 3 managers, 
and 3 assistant managers if exactly 2 of the delegates must be supervisors?"
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Then the answer is: C%5B4%5D%5E2 . C%5B3%2B3%5D%5E2 = C%5B4%5D%5E2 . C%5B6%5D%5E2 = %284%2A3%29%2F%281%2A2%29.%286%2A5%29%2F%281%2A2%29 = 6*15 = 90.