The number of subsets that can be created from the set {1, 2, 3} is:
8
We know that for any set with n elements.
The total number of subsets is given by the formula:
[tex]Total\ number\ of\ subsets=2^n[/tex]
The collection of all the subsets of a set is also known as a Power set.
Here we have a set as: {1,2,3}
i.e. n=3
(There are 3 elements in the set)
Hence, the total number of subsets that can be created by this set will be:
[tex]2^3=2\times 2\times 2=8[/tex]
The power set of this set is given by:
[tex]Power\ set=\{\ \phi,\ \{1\},\ \{2\},\ \{3\},\ \{1,2,3\},\ \{1,2\},\ \{1,3\},\ \{2,3\}\}[/tex]
