Chef Raffle

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Every year, chefs from around the world travel to the Chef Equipment Show to see all the new cooking gizmos and gadgets that will become available for purchase in the upcoming year. The event includes a giveaway called Chef Raffle where chefs can win some of this equipment as prizes. There are $K$ chefs at the event and each of them is given a single raffle ticket. In the Chef Raffle, there are $

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