# Subsets, Power Set and Universal Set

• Subset: If every element of set A is an element of set B then A is a subset of B, denoted as A⊂B.
• Power set: The set of all subsets of a given set 'A' is called the power set of 'A' and it is denoted by P(A).
• If 'A' is a set with 'm' elements then number of sub sets are 2m and proper subsets are 2m – 1.

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1. A ⊂ B and B ⊂ A  A = B

2. If A is a set with n(A) = m, then n[P(A)] = 2m