NDA2018MathematicsPermutation and CombinationActual
The total number of 5-digit numbers that can be composed of distinct digits from 0 to 9 is
Options
- A45360
- B30240
- C27216
- 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