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At a dog show, first-place winners were selected in each of 33 divisions. In how many different orders could these winners be announced?\newline_____\_\_\_\_\_ orders

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Full solution

Q. At a dog show, first-place winners were selected in each of 33 divisions. In how many different orders could these winners be announced?\newline_____\_\_\_\_\_ orders
  1. Determine Winners: Determine the number of items (winners) to be ordered.\newlineThere are 33 first-place winners from 33 divisions.\newlineNumber of orders: 3!3!
  2. Calculate Value: Calculate the value of 3!3!.
    Number of orders = 3!3!
    = 3×2×13 \times 2 \times 1
    = 66

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