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It depends on whether the order of the numbers is important or not. For example, if 123456 is seen as a different code to 213456 then there are many more possible solutions.

If the order is unimportant, the number of possible combinations is equal to

binomial coefficient(15,6) = 5005

If the order is important, then the number of possible permutations is equal to

15! = ~1.3x1012

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