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There are 21000 - 1 combinations.

Remember that in a combination the order of the numbers does not matter. That is relevant only for permutations which are not the same thing.

For each combination, each one of the 1000 numbers can be in or out. So for each combination there are 1000 choices of in or out. Except that if all are out, you get a null combination - that is, a combination with no numbers. For that particular case you subtract the 1 from the total.

You will have 1 combination consisting of 1000 numbers, 499500 of 2 numbers and so on. The number of combinations will be the nth row of Pascal's triangle.

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Q: How many combinations can you make with 1000 numbers?
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