SOLUTION: In how many ways an instructor can award 2 black belts from among 7 applicants and 3 green belts from among 9 applicants?

Question 1067349: In how many ways an instructor can award 2 black belts from among 7 applicants and 3 green belts from among 9 applicants?
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
Award 1 black belt to one of the 7
Now you have 6 applicants left:
Award 1 black belt to one of the 6
7*6 = 42 ways
---------------------------
Award 1 green belt to one of the 9
Now you have 8 applicants left
Award 1 green belt to one of the 8
Now you have 7 left
Award 1 green belt to one of the 7
9*8*7 = 504 ways
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