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      Question

      How many even five-digit numbers can be formed using the

      digits 0 to 9 if no digit is repeated?
      A 13776 Correct Answer Incorrect Answer
      B 12463 Correct Answer Incorrect Answer
      C 11348 Correct Answer Incorrect Answer
      D 14476 Correct Answer Incorrect Answer

      Solution

      Given number-0,1,2,3….9. Total digit =10 To make a five-digit odd number, there must be 0,2,34,6 or 8 at the unit’s place. Total number=9×8×7×6×5=15120 This also includes the number with 0 in the first position, thus we also have a 4-digit number. Thus, the total number of 4-digit numbers=8×7×6××4=1344 Total number=15120-1344=13776.

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