There are way too many to list, in fact there are 226 If you want to get a feel for what they are, this will give you an idea.
{1}
{1,2}
{1,2,3}
.
.
.
{1,3}
{1,3,5}
Each number between 1 and 26 can either be in or not be in the set. So 2 choices for each of the 26 numbers and that is why we have 226
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the difference between a subset and a proper subset
A subset of a set S can be S itself. A proper subset cannot.
{-1, 0, 1, 2, 3, 4}
There is no difference between improper subset and equal sets. If A is an improper subset of B then A = B. For this reason, the term "improper subset" is rarely used.
The first part of the problem we take an object and break it down to four equal subset. Mathematical written as 1/4. The next step is to further divide each of the four subsets into four sub-subsets. That will give a total of sixteen sub sets of the whole. 1/4*1/4=1/16 or object divided into subset, subset, subset, subset and then each subset divided into sub-subset, sub-subset, sub-subset, sub-subset. Gives a total of sixteen sub-subset