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Manipal MET2021MathematicsPermutation and Combination

The number of three digit numbers which have at least two identical digit, is

Options

  1. A648
  2. B729
  3. C252
  4. D452

Correct answer

C. 252

Step-by-step solution

Number of three digits number when two 1's occur =9+8+9=26 . Similarly, for two 2's ... 9's We have, 26 9 numbers =234 numbers Number of numbers when two zero's occur =9 Number of numbers when all three digits are same = 9 Total three digit numbers having at least two identical digits =234+9+9=252

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