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2025 AMC 10A Question 12

AMC10 · 2025 AMC 10A

Question 12

Carlos uses a $4$-digit passcode to unlock his computer. In his passcode, exactly one digit is even, exactly one (possibly different) digit is prime, and no digit is $0.$ How many $4$-digit passcodes satisfy these conditions?
  1. $176$
  2. $192$
  3. $432$
  4. $464$
  5. $608$