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Earn +20 ptsQ: Is a set always a superset of itself?
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Continue Learning about Algebra
How many subsets can be made from a set of six elements including the null set and the set itself?
64
Why can a proper subset be a subset of itself?
Because every set is a subset of itself. A proper subset cannot, however, be a proper subset of itself.
How many subsets in an empty set?
The empty set has only one subset: itself. It has no proper subsets.
Do sets always have an intersection that is not the empty set?
No, they do not.
How many proper subsets does a set with four elements have?
A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.
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