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Add the smallest number with the highest number.

1 plus 500 = 501.

Do the same with the second highest and the second smallest.

2 plus 499 = 501

As you can see, all the totals equal 501. Now just divide 500 by two since you are using two unique numbers per combination.

500 divided by 2 = 250.

Now multiply the total of one combination (501) by the number of possible unique combinations (250)

501 times 250 = 125,250.

That is the sum. Not very complicated.

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16y ago

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