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Five separate awards (best scholarship, best leadership qualities, etc.) are to be presented to selected students from a class of 30. (a) How many ways

Five separate awards (best scholarship, best leadership qualities, etc.) are to be presented to selected students from a class of 30. (a) How many ways can the awards be given out? (b) How many ways can the awards be given out, if no student can win multiple awards? (c) What is the probability that Rose wins an award in the scenario (b)? (d) What is the probability that Rose wins an award in scenario (a)?

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