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Kimi is getting a pinata for her birthday party. The 55 children at the party are going to take turns trying to break it open. If each child gets one turn, in how many different orders could the children take turns?\newline_____ orders

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Q. Kimi is getting a pinata for her birthday party. The 55 children at the party are going to take turns trying to break it open. If each child gets one turn, in how many different orders could the children take turns?\newline_____ orders
  1. List of participants: List of participants: 55 children.\newlineWe need to determine the number of different orders in which these 55 children can take turns.\newlineSince each child is distinct and order matters, we use permutations to solve this problem.\newlineNumber of orders: 5!5!
  2. Permutations calculation: Calculate the value of 5!5! (55 factorial).\newlineNumber of orders = 5!5!\newline= 5×4×3×2×15 \times 4 \times 3 \times 2 \times 1\newline= 120120

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