- 03 Jan '14 22:33

but, it is ambiguous:*Originally posted by wolfgang59***1 = 5**

2 = 505

3 = 5005

4 = 50005

5 =

?

1 = 5 which has 1 possible arrangement (5)

2 = 505 which has exactly 2 possible arrangements (505, 550)

3 = 5005 : 3 arrangements (5005, 5050, 5500)

4 = 50005: 4 arrangements (50005, 50050, 50500, 55000)

so the fomula could be:

for any number n, the lowest number, made of only the digits 0 and 5, which can be rearranged into n distinct legal numbers.

so

5 = 500005 - 04 Jan '14 10:09 / 1 edit

As I said:*Originally posted by Sebastian Yap***Your solution is not unique. 55000, 50500, 50050 also fits your requirements.**

for any number n, the**lowest number**, made of only the digits 0 and 5, which can be rearranged into n distinct legal numbers, i.e. 50005. This also fits the given numbers.