If the order of the 5 matters, there are (10 x 9 x 8 x 7 x 6) = 30,240 possibilities.
If the order of the 5 doesn't matter, there are (30,240)/(5 x 4 x 3 x 2) = 252 unique groups of 5.
We assumed that the same number can't repeat within the 5.
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There are a huge number of combinations of 5 numbers when using the numbers 0 through 10. There are 10 to the 5th power combinations of these numbers.
There are 252 combinations.
120
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5