Question

What is the difference between power set and subset with examples

Answer 1

power set is the set of all the possible subsets of another set.
while,
subset is just a set of few (or all) elements of that another set.
so,
the subsets are elements of the power set.

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Answer 2

every set is subset to it self. so,no. of subset in a set is equal 2^n (n is number of elements in set)
power set does not include the set as subset. so no. of power set are equal to 2^n-1
example: subsets of set {1,2,3} is equal to 8
and power set is equal to 7 because {1,2,3} is not included