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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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Q: What are the combinations of 1 through 10 with out using them twice?
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