A lot! 56 x 55 x 54 x 53 x 52 if the same numbers in a different order are allowed.
That number divided by 5 x 4 x 3 x 2 if they aren't allowed.
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There are 5,461,512 such combinations.
There are infinitely many numbers and so infinitely many possible combinations.
10.
There are 120 permutations and 5 combinations.
120 WRONG! That is the number of PERMUTATIONS. In the case of combinations, the order of the numbers does not matter, so there is only 1 5-number combination from 5 numbers.