A group of college students contains 7 seniors and 8 juniors.
a) In how many ways can 3 individuals from this group be chosen for a committee?
b) In how many ways can a president, vice president, and secretary be chosen from this group?
c) Suppose instead, there are n seniors and m juniors, for some nonnegative integers n and m.
c-1) In how many ways can k individuals from this group be chosen for a committee, for nonnegative integer k?
c-2) In how many ways can a president, vice president, and secretary be chosen from this group?
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