Is any set subset to itself?

Theorem 1 (Every set is a subset of itself.Theorem 2( The empty set is a subset of every set)

Consider the following statements : 1. The null set is a subset of every set. 2. Every set is a subset of itself. 3. If a set has 10 elements, then its power set will have 1024 elements. Which of the above statements are correct?

Fill ups The set S as a subset of itself, where S is the sample space of an experiment, is called a …………….event.

Is empty set subset to every set?

Justify the trueness of the statement " An element of a set can never be a subset of itself ".

If A and B be any two subsets of the set S then show that (AxxB) cap (AxxB')=phi

State true / false:If a set has only one subset then it is a null set

If A = {1, 4, 9}, write any three subsets of set A.

A = {1, 3, 2, 7}. Write any three subsets of set A.