SOLUTION: A class has 16 students, of which 3 are seniors. How many committees of size 3 can be selected if at least one member of each committee must be a senior?

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Question 674349: A class has 16 students, of which 3 are seniors. How many committees of size 3 can be selected if at least one member of each committee must be a senior?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
A class has 16 students, of which 3 are seniors. 13 non-seniors
How many committees of size 3 can be selected if at least one member of each committee must be a senior?
All possibilities - number of committees with no seniors
+16C3+-+13C3