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If a set, S has 5 elements, how many subsets with three elements does that set have?

I am new to set theory, and I do not know a way to mathematically exhausting all of the possibilities.

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1 Answer

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List them all out, do you see any other way to make a subset of $S$ with 3 elements in it?

{1,2,3}, {1,2,4}, {1,2,5}, {1,3,4}, {1,3,5}, {1,4,5}, {2,3,4}, {2,3,5}, {2,4,5}, {3,4,5}

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