10. A class will select 4 class officers: a President, Vice-President, Secretary, and Treasurer from among 10 students. How many different ways can four officers be selected from the class?
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The presidents, vice presidents, and secretary-treasurers from each of four classes are eligible for an all-school council. How many ways can four officers be chosen from these representatives? How many ways can they be chosen if the president must be selected from the sitting presidents, the vice president from the sitting vice presidents, the secretary from the sitting secretary-treasurers, and the treasurer from everybody who's left?
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