## anonymous 5 years ago (a) has 2 subsets how do I find the subsets?

1. amistre64

i think your missing parts to the question here. Subset to me means that this is speaking about set theory. And there might be something else to the problem here. If {a} is the only element in the set, then we have {a} and {null} as two subsets of {a}. But without further information, thats just a guess :)

2. amistre64

a subset of a set consists of all the possible permutations of the elements in that set including the set itself and the null set.

3. anonymous

This is also called the power set of a set. A way to know how many subsets are in a given set, you can use the proven theorem: $|\rho({a})|=2^{\left| a \right|}$ Where the bars represent the cardinality, i.e. the number of elements in the set. For example, {a} has one element, so the number of subsets it has is $2^{|a|}=2^{1}=2$ Just a thought in case you need to do it for more than one element.