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How many distinct positive integers can be represented as the difference of two numbers in the set {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}?

 Jan 2, 2021
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The difference between 2 numbers in this set will always be even because an odd number minus an odd number will always be even.

The smallest attainable value is 2, and the biggest attainable value is 18. Every value between these 2 numbers will also be attainable.

That means the answer to this question is: there are 9 distinct positive integers that can be represented as the difference of 2 numbers in that set.

(they are 2, 4, 6, 8, 10, 12, 14, 16, and 18)

 Jan 3, 2021

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