SOLUTION: there are 10 seniors, 8 juniors, 5 sophomores, and 3 freshmen on a student council.a committee of 6 members is formed. determine the number of ways to form this committee with at l

Question 1123561: there are 10 seniors, 8 juniors, 5 sophomores, and 3 freshmen on a student council.a committee of 6 members is formed. determine the number of ways to form this committee with at least 4 seniors
Answer by Alex.33(110) (Show Source): You can put this solution on YOUR website!
4 seniors:
pick 4 seniors from 10: 10c4=210 ways.
pick 2 people from the rest (8+5+3)=16 ones: 16c2=120 ways.
Total: 210*120=25200 ways.
5 senoirs: 10c5*16c1=4032 ways.
6 seniors: 10c6=210 ways.
Add them all up:29442 ways. (I did not expect it to be that much though)
And we're done.
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