SOLUTION: A class has 17 students, of which 4 are seniors. How many committees of size 4 can be selected if at least one member of each committee must be a senior?

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Question 1095994: A class has 17 students, of which 4 are seniors. How many committees of size 4 can be selected if at least one member of each committee must be a senior?
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
If at least one member has to be a senior, then there are 4x3x2x1, or 24, different assortments of seniors availabe. Then, there are 13 others who are not seniors, so 13x12x11, or 1716, equals the amount of non-senior committees are available. Thus 1716 x 24, or 41184 different committees can be formed. ☺☺☺☺