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Q: How many subsets are there in the set x?

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Two. The set {x} has the subsets {} and {x}.

8 subsets

An element doesn't have subsets. Sets can have subsets.

If the universal set contains N elements then it has 2N subsets.

The empty set has only one subset: itself. It has no proper subsets.

A set with 9 elements has 2^9 = 512 subsets.

Only a set can have subsets, a number cannot have subsets.

That means, figure out how many different subsets a set has. In general, if a set has n elements, it has 2n different subsets.

A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.

7.

There are 8 different subsets. The null set. {x} {y} {z} {x y} {x z} {y z} {x y z}

512 subsets

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