If they can repeat, then: 17^6=24,137,569
If they can't repeat, then: 17*16*15*14*13*12=8,910,720
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There are infinitely many numbers and so infinitely many possible combinations.
If the numbers can be repeated and the numbers are 0-9 then there are 1000 different combinations.
If the order of the numbers are important, then this is a simple combination problem. There are 10 possible numbers to choose from for the first number. Then there are 9 options for the second number. Then there are 8 options for the third, and so on. Thus, the number of possible combinations can be calculated as 10x9x8x7x6x5. This comes out at 151,200 possible combinations.
By making a number tree that could have as many as 1,000,000 combos.
10,000