There is 1 combination of all ten numbers, 10 combinations of one number and of nine numbers,
45 combinations of two or eight numbers,
120 combinations of three or seven numbers,
210 combinations of four or six numbers and
252 combinations of five numbers.
That is 1023 = 210 - 1 in total.
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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.
If there are no restrictions on duplicated numbers or other patterns of numbers then there are 10 ways of selecting the first digit and also 10 ways of selecting the second digit. The number of combinations is therefore 10 x 10 = 100.
Exactly 3,628,800, or 10!.
150,200