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Australian AMC 2023 - Junior Question 12

AMC AUSTRALIA · Australian AMC 2023 - Junior

Question 12

In Nurdle, players guess a three-digit number. A tick ✓ means the digit is correct and in the right place; a circle ⊙ means the digit is in the number but in a different place; a cross × means the digit is not in the number at all. Mike’s two guesses and feedback are shown. How many different three-digit numbers fit all the clues?

| Guess | First position | Second position | Third position |
|---|---|---|---|
| 535 | 5: × | 3: ⊙ | 5: × |
| 123 | 1: × | 2: ✓ | 3: ⊙ |

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