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      Question

      How many 4-digit numbers can be formed using digits

      1–9 if repetition is not allowed and the number is even?
      A 1025 Correct Answer Incorrect Answer
      B 1205 Correct Answer Incorrect Answer
      C 1344 Correct Answer Incorrect Answer
      D 1662 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Units digit even β†’ choices: 2,4,6,8 β†’ 4 choices Remaining 3 digits from remaining 8 digits: permutations 8P3 = 336 Total = 4 Γ— 336 = 1344

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