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Greenpoint City Diner is introducing a new dessert menu, which includes 55 different desserts. In how many different orders could the desserts be listed on the menu?\newline_____ orders

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Full solution

Q. Greenpoint City Diner is introducing a new dessert menu, which includes 55 different desserts. In how many different orders could the desserts be listed on the menu?\newline_____ orders
  1. List of desserts: List of items: 55 different desserts.\newlineWe need to determine the number of different orders in which these desserts can be listed on the menu.\newlineSince the order matters and there are no repetitions, this is a permutation problem.\newlineNumber of orders: 5!5!
  2. Permutation calculation: Calculate the value of 5!5!.
    Number of orders = 5!5!
    = 5×4×3×2×15 \times 4 \times 3 \times 2 \times 1
    = 120120

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