SOLUTION: The US senate of the 104th Congress consisted of 54 Republicans and 46 Democrats. How Many Committees can be formed if each committee must have 3 Republicans and 2 Democrats?

Algebra ->  Probability-and-statistics -> SOLUTION: The US senate of the 104th Congress consisted of 54 Republicans and 46 Democrats. How Many Committees can be formed if each committee must have 3 Republicans and 2 Democrats?       Log On


   

Question 375905: The US senate of the 104th Congress consisted of 54 Republicans and 46 Democrats. How Many Committees can be formed if each committee must have 3 Republicans and 2 Democrats?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
54*53*52*46*45 = 308065680
But, choosing ABC is the same as CAB, so we divide by 3*2*1 (for the Reps) and by 2*1 (for the Dems)
= 308065680/12
= 25672140