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JEE Main20199 Jan 2019Evening ShiftMathematicsPermutation and CombinationActual

The number of natural numbers less than 7000 which can be formed by using the digits 0 , 1 , 3 , 7 , 9 (repetition of digits allowed) is equal to:

Options

  1. A375
  2. B250
  3. C374
  4. D372

Correct answer

C. 374

Step-by-step solution

∴ Total number formed less than 7000 = 3 × 5 × 5 × 5 = 375 ∴ Total natural number formed less than 7000 = 375 - 1 = 374 (number zero has been excluded)

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