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At a 5K race last weekend, door prizes were given away. There was a TOP door prize, a medium door prize, a small door prize,

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At a 5K race last weekend, door prizes were given away. There was a TOP door prize, a medium door prize, a small door prize, and a tiny door prize given away. If 142 people were eligible for door prizes, in how many different ways could they be awarded, if nobody could win more than one

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