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From a group of 5 freshmen, 3 sophomores, 4 juniors, and 6 seniors, how many 5-person committees are possible if there must be exactly 3 seniors?
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Well, assuming the question means that there are only 3 seniors in total in all committees, just add all the values, except the senior value (add 3 instead of 6), and divide by 5. 5+3+4+3=15 15/5=3 Only 3 possible total committees. That's only if what I said above is true; the question is worded strangely.
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