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Background: The Daily 3 game is a daily game. It consists of three sets of balls, each numbered from 0 through 8 (9 is omitted due to its visual similarity to 6). One ball is drawn from each set giving a 3-digit winning number. All numbers must be in the correct order to win.

Question: How many different combinations are possible with the Daily 3 game?

Answer: This is what I have so far, but I'm not sure if I'm correct: 24!/(24-3)! = 12144

12144 combinations

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There are 9 choices for the first number, 9 choices for the second number, and 9 choices for the third number. Using the multiplication principle, the total number of combinations is $9^3=729$.

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