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This kind of problem is called permutations.
First, choose one of the 10 numbers: 10 choices here.
Then, choose one of the 9 remaining numbers: 9 choices, and etc.
10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3628800.

Or, if repeats are allowed, then we have:
10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 = 1010 = 10000000000.

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Q: How many number combinations can you make with ten numbers from 1 to 10?
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