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      Question

      How many 4-digit numbers can be formed using digits 1 to

      6 without repetition, such that the number is even?
      A 125 Correct Answer Incorrect Answer
      B 180 Correct Answer Incorrect Answer
      C 165 Correct Answer Incorrect Answer
      D 145 Correct Answer Incorrect Answer

      Solution

      ATQ, Even number β†’ last digit must be even β†’ choices: 2, 4, 6 β†’ 3 choices Remaining 3 digits from 5 others β†’ 5 Γ— 4 Γ— 3 = 60 Total = 3 Γ— 60 = 180

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