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No. The number of subsets of that set is strictly greater than the cardinality of that set, by Cantor's theorem. Moreover, it's consistent with ZFC that there are two sets which have different cardinality, yet have the same number of subsets.

Q: Can we define the cardinal number as the number of subsets of that set?

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A fraction is a number, it is not a set. A number cannot have subsets, only a set can.

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

Yes,empty set or void set or null set is a subset of every set.In order to know the number of subsets of any set, first of all count the number of elements in the set and take the number of elements as the exponent of 2, then you will get the number of subsets of any set.

There are 512 subsets in 123456789. This is because there are 9 elements. Take 2, and make it to the 9th power, this is 512, so there are 512 subsets.

thenumber of subsets = 8formula: number of subsets =2n; wheren is thenumber of elements in the set= 2n= 23= 8The subsets of 1,2,3 are:{ }, {1}, {2}, {3}, {1,2}, {2,3}, {1,3}, {1,2,3}

Related questions

A fraction is a number, it is not a set. A number cannot have subsets, only a set can.

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

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

The number 8 is not a set and so cannot have any subsets. The set consisting of the number 8 is a set and, since it has only one element in it, it has two subsets: itself and the null set.

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

If the set has "n" elements, then you can make 2n different subsets. The number of subsets will always be greater than the size of the set, both for finite and for infinite sets.

A set with 27 members has 2^27 = 134217728 subsets - including itself and the null set.

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.

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.

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

Assuming no restrictions on the set, the cardinality of a set, n, is related in this form # of subsets = 2n