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Q: Can you relate the number of elements of a set to its number of subsets?

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A finite set with N distinct elements 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.

c(6,5)

It depends on the set x. If set x is of cardinality n (it has n elements) then it has 2n subsets.

6

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

If the set has n elements, the number of subsets (the power set) has 2n members.

A finite set with N distinct elements has 2N subsets.

512 subsets

If a set has "n" elements, then it will have 2n subsets. This number of subsets is always larger than the number of elements - whether the set is finite or infinite.

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

32.

The number of subjects will depend on what the elements of the set are. The number of subsets is 2a.

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

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

It is impossible. If a set has n elements, the cardinality of its power set [the number of its subsets] is 2n which must be even.

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

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