A subset of an finite set is
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Let S be a finite set with elements and be a subset of S obtained by removing one element, Let be a subset of S. If is not in T, then T is finite because it is a subset of S', a set with n elements. If is in T and is the only element in T, then T is finite.
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a subset of an finite set is
A finite set with n elements has 2n distinct subsets. That is, the power set of a finite set is finite, with cardinality 2n. Any subset of a finite set is finite. The set of values of a function when applied to elements of a finite set is finite.
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