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An online auction site includes listings for 44 items. If the listings all close at different times, in how many different orders could the listings close?\newline____\_\_\_\_ orders

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Full solution

Q. An online auction site includes listings for 44 items. If the listings all close at different times, in how many different orders could the listings close?\newline____\_\_\_\_ orders
  1. Identify Items: Identify the number of items (auction listings) to be ordered. There are 44 items (auction listings) that need to be ordered in sequence based on their closing times.
  2. Determine Orders: Determine the number of different orders.\newlineSince the order in which the listings close matters and each listing closes at a different time, we can use the factorial of the number of items to find the number of different orders.\newlineNumber of orders = 4!4!
  3. Calculate Value: Calculate the value of 4!4!.
    Number of orders = 4!=4×3×2×14! = 4 \times 3 \times 2 \times 1
    =24= 24

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