WBJEE2017MathematicsPermutation and CombinationActual
The number of all numbers having 5 digits, with distinct digits is
Options
- A99999
- B9 ⁹ P₄
- C¹⁰ P₅
- 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