SOLUTION: A group of��7 education majors, 12 art majors, 5 sociology majors, 8 math majors, and 3 engineering majors must select a committee of five.��How many committees are possible if th

Question 548949: A group of��7 education majors, 12 art majors, 5 sociology majors, 8 math majors, and 3 engineering majors must select a
committee of five.��How many committees are possible if the committee must contain:
d. at most 2 sociology majors
I understand the 5C2 + 5C1 part but not sure how to put it together with the other groups
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A group of 7 education majors, 12 art majors, 5 sociology majors, 8 math majors, and 3 engineering majors must select a
committee of five. How many committees are possible if the committee must contain:
d. at most 2 sociology majors
I understand the 5C2 + 5C1 part but not sure how to put it together with the other groups
----
0 soc majors: 35C5
1 soc major: 5*30C4
2 soc major: 5C2*30C3
--------
Add those numbers to get the total number of committees.
Cheers,
Stan H.
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