Q: How many subsets does a set of elements have?

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A set with N elements has 2N subsets.

512 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 50 elements has 250 subsets.

If the set has n elements then it has 2n subsets.

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8 subsets

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

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

A set with N elements has 2N subsets.

512 subsets

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

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

If you have a set of 6 elements, you can make a total of 26 different subsets - including the empty set and the set itself.

Elements belong to subsets: subsets contain elements (from the parent set).

The number of elements. A set with n elements has 2n subsets; for example, a set with 5 elements has 25 = 32 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 50 elements has 250 subsets.