SOLUTION: The Rodeo Club has 5 seniors, 17 juniors, 14 sophomores, and 10 freshmen. In how many ways can 2 representatives be selected if the selection must be composed of a senior and a fre

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Question 1187133: The Rodeo Club has 5 seniors, 17 juniors, 14 sophomores, and 10 freshmen. In how many ways can 2 representatives be selected if the selection must be composed of a senior and a freshman or a junior and a sophomore?
Answer by ikleyn(52834) About Me  (Show Source):
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The Rodeo Club has 5 seniors, 17 juniors, 14 sophomores, and 10 freshmen.
In how many ways can 2 representatives be selected if the selection must be composed
of a senior and a freshman or a junior and a sophomore?
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It is the sum of combinations of each kind


    In how many ways = 5*10 + 17*14 = 288  different possible ways.    ANSWER

Solved.