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At an annual flower show, 6 different entries are to be arranged in a row.
a) How many different arrangements of the entries are possible?
b) If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?

a) 6x5x4x3x2x1 = 6! = ?
b) Regardless of the dollar amount of the prizes, the same three people can share them 3! = 6 ways

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