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Old 12-08-2022, 06:52 PM
bopat bopat is offline
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It's not clear from the question how many categories there are or how many awards are given in each category. In order to answer the question as stated, we would need more information. If there are two categories, piano and violin, and each category has three awards (1st, 2nd, and 3rd), then there are 7 * 3 = <<73=21>>21 different ways to award the piano prizes and 9 * 3 = <<93=27>>27 different ways to award the violin prizes, for a total of 21 * 27 = <<21*27=567>>567 ways to award all of the prizes.
Last edited by bopat; 12-08-2022 at 07:01 PM. Reason: unclear information