Number of 5-digit even numbers with all distinct digits
Case 1 : Fix 0 at one’s place and most significant digit can’t be 0
So number of possibilities = 9 X 8 X 7 X 6 X1 = 3024
Case 2 : We can have {2,4,6,8} at one’s place(hence 4 possibility) and most significant digit can’t be 0
So number of possibilities = 8 X 8 X 7 X 6 X4 = 10752
Total = 13776