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Arianna, Xavier, and Rebecca have been invited to a dinner party. If they each drive there separately, in how many different orders can they arrive?

Arianna, Xavier, and Rebecca have been invited to a dinner party. If they each drive there separately, in how many different orders can they arrive?

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Full solution

Q. Arianna, Xavier, and Rebecca have been invited to a dinner party. If they each drive there separately, in how many different orders can they arrive?
  1. List of people: List of people: Arianna, Xavier, and Rebecca.\newlineWe need to determine the number of different orders in which they can arrive at the dinner party.\newlineSince there are 33 people, the number of orders will be 3!3! (33 factorial).
  2. Calculate factorial: Calculate the value of 3!3!.
    Number of orders = 3!3!
    = 3×2×13 \times 2 \times 1
    = 66

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