Concept explainers
(a) The 2011 baseball team at the Ohio State University consisted of 10 freshmen, 9 sophomores, 7 juniors, and 7 seniors. The coaches want to choose two players from each class to represent the team at a booster club banquet. How many different ways can they choose?
(b) The coaches also need to choose four players overall to visit elementary schools in the community, with each player going to a different school. How many different ways can they make this choice?

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