i think yes
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9999
There are 10000 because there is 0001 to 9999 and then there is 0000.
The maximum number that can be formed is 9999. The numbers 'count themselves', except you must remember to include 0 (0000), so we get: 9999+1 = 10000 combinations. This can also be seen in terms of pure combinatorial mathematics as 10*10*10*10 = 104 =10000.
One solution: 0990 + 0000 + 0000 + 0066 + 0055 = 1111
Just start at 0000 and end at 9999. It takes awhile in the end I ended up unlocking it.