The number of five digit numbers, greater than 40000 and divisible by 5, which can be formed using the digits 0, 1, 3, 5, 7 and 9 without repetition, is equal to [2023]
(2)
Numbers greater than 40000 and divisible by 5 can be formed using digits 0, 1, 3, 5, 7, 9 in the following ways:
| Number of ways | |
|---|---|
| 5 _ _ _ 0 | 4 × 3 × 2 × 1 = 24 |
| 7 _ _ _ 0 | |
| 7 _ _ _ 5 | 4 × 3 × 2 × 2 = 48 |
| 9 _ _ _ 0 | |
| 9 _ _ _ 5 | 4 × 3 × 2 × 2 = 48 |
Total number of ways = 24 + 48 + 48 = 120