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Dirk, a competitive athlete, is figuring out which races to sign up for next year. There are many types of races to choose from, including 5050-kilometer trail runs, double century rides, and sprint triathlons. If Dirk signs up to complete one of each type, in how many different orders could he complete them?\newline_____\_\_\_\_\_ orders

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Full solution

Q. Dirk, a competitive athlete, is figuring out which races to sign up for next year. There are many types of races to choose from, including 5050-kilometer trail runs, double century rides, and sprint triathlons. If Dirk signs up to complete one of each type, in how many different orders could he complete them?\newline_____\_\_\_\_\_ orders
  1. Events List: List of events: 5050-kilometer trail run, double century ride, and sprint triathlon.\newlineDirk wants to complete one of each type of race.\newlineThere are 33 events in the given list.\newlineNumber of orders: 3!3!
  2. Dirk's Goal: Find the value of 3!3!.
    Number of orders = 3!3!
    = 3×2×13 \times 2 \times 1
    = 66

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