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NEST2021MathematicsPermutation and Combination

Let X be the set of all 6 -digit numbers, where all the digits of each number are from the set 1,2,3,4,5 , and any digit that appears in any one of the numbers appears at least twice (in the same number). Then the number of distinct elements in the set X equals

Options

  1. A1415
  2. B900
  3. C1800
  4. D1405

Correct answer

D. 1405

Step-by-step solution

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