Eight freshmen and eight sophomores want to play flag football. At URI, a flag foot- ball team must have exactly eight members. For this problem, you may leave your answers unreduced. (a) How many teams can be chosen that contain four freshmen and four sophomores? (b) How many teams can be chosen that contain at least two sophomores? (c) How many teams can be chosen that contain at most two freshmen?

Advanced Engineering Mathematics
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ISBN:9780470458365
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Eight freshmen and eight sophomores want to play flag football. At URI, a flag foot- ball team must have exactly eight members. For this problem, you may leave your answers unreduced.

(a) How many teams can be chosen that contain four freshmen and four sophomores?

(b) How many teams can be chosen that contain at least two sophomores?

(c) How many teams can be chosen that contain at most two freshmen?

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