SOLUTION: God help me From a group of 10 men and 12 women a comittee of 5 is to be chosen. How many commitees can be formed if there are 3 m3n and 2 women?

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Question 184743: God help me
From a group of 10 men and 12 women a comittee of 5 is to be chosen. How many commitees can be formed if there are 3 m3n and 2 women?
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
use combination formula: nCr=n!/r!(n-r)!

Number of Committees = (10 C 3) * (12 C 2)

Number of Committees = (10!/3!(10-3)!) * (12!/2!(12-2)!)

Number of Committees = (10!/3!7!) * (12!/2!10!)

Number of Committees = ((10*9*8)/3!) * ((12*11)/2!)

Number of Committees = ((10*9*8)/6)* ((12*11)/2)

Number of Committees = 120*66

Number of Committees = 7920