Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA2018MathematicsPermutation and CombinationActual

The total number of 5-digit numbers that can be composed of distinct digits from 0 to 9 is

Options

  1. A45360
  2. B30240
  3. C27216
  4. D15120

Correct answer

C. 27216

Step-by-step solution

Number of 5 digits numbers with all distinct digit is same as filling of 5 vacent placed out of 10 boxes. First digit of any number can be choosen in 9 ways. Remaining 4 digits can be choosen in remaining 9 digits in ^9 P ₄ ways. Total number of such number =9 9 8 7 6=27216

Practice Permutation and Combination on Quantrex Academy →

More from Permutation and Combination

All Permutation and Combination questions Full Permutation and Combination list All NDA PYQs