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WBJEE2017MathematicsPermutation and CombinationActual

The number of all numbers having 5 digits, with distinct digits is

Options

  1. A99999
  2. B9 ⁹ P₄
  3. C¹⁰ P₅
  4. D⁹ P₄

Correct answer

B. 9 ⁹ P₄

Step-by-step solution

Total number of 5-digit numbers having all the digits distinct = ¹⁰ P ₅- ⁹ P ₄ array l = 10 ! 5 ! - 91 5 ! = 10 9 ! 5 ! - 91 51 = 91 51 (10-1)=9 9! (9-4) ! =9 9 P₄ array

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