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Earn +20 ptsQ: How many subsets in an empty set?
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How many subsets are there in the set x?
It depends on the set x. If set x is of cardinality n (it has n elements) then it has 2n subsets.
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.
How many subsets are there in a set formed from the letters of the word mathematics?
In a set, as it is usually defined, elements can't be repeated. "Mathematics" has 8 distinct letters, so your set would have 8 letters. The number of possible subsets (this includes the empty set, and the set itself) is two to the power 8.
How do you get the number of the subsets in a set?
A finite set with N distinct elements has 2N subsets.
How many subsets can be made from a set of six elements including the null set and the set itself?
64
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