Question: How many different combinations of three numbers can be selected from the set 1, 2, 3, 4, 5, 6, 7, 8 so that the numbers could represent the side lengths of a triangle?

I have a list L:={1,2,3,4,5,6,7,8}. I choose three elements from list L. How many different combinations of three numbers can be selected from L so that the numbers could represent the side lengths of a triangle?

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