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On the last school day of the first grading period Michael learns his final grade for each class. If order is not important and we know he has earned at least 1 of each of the 5 letter grades, what is the total number of combinations of 7 final grades (one for each class) that Michael can possibly receive for the first grading period?




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Assume now that we do not know any of Michael's 7 final grades. If order is not important, what is the total number of combinations of 7 final grades (one for each class) that Michael can possibly receive for the first grading period?

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