Symmetry

Eva loves symmetry in shapes and numbers. Yesterday she invented a completely new kind of symmetry - divisible symmetry. She wrote all five-digit numbers with different digits with the following property:
the first digit is divisible by 1, the second by 2, the third by 3, the fourth by 4 and the fifth by 5, regardless of whether the digit reads from left to right or from right to left.

List all five-digit numbers with Eva's divisible symmetry. How many are there?

Correct answer:

n =  12

Step-by-step explanation:

1. 50005
2. 50305
3. 50605
4. 50905
5. 54045
6. 54345
7. 54645
8. 54945
9. 58085
10. 58385
11. 58685
12. 58985




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