What is a Set?
Mathematically a Set is a well defined collection of objects. For example, "the collection of all people in a village" is a Set. But, "the collection of all rich people in a village" is not a Set, because the term 'rich' is not well defined and it is subjective. Hence it is not a Set in Mathematics. The Set theory - branch of Mathematics dealing with the study of Sets and their properties is a fundamental area of basic Mathematics. The Sets which has a finite number of elements are called Finite Sets. If a Set has infinitely many elements but countable, then it is called as Denumerable Set. And if the elements are uncountably many, then it is called an Uncountable Set.
What is a Subset of a Set?
A Subset of a Set is a collection of elements that are drawn from the Set, and every element of the Subset is also an element of the original Set. In other words, a Subset is a smaller Set that is contained within a larger Set.
For example, consider Set A = {1, 2, 3}. The set {1, 2} is a subset of A because it contains elements that are also in A. The set {1, 2, 3, 4} is not a subset of A, because it contains an element (4) that is not in A.
It is possible for a Set to be a Subset of itself. In this case, the Set is called an "Improper Subset" of itself.
How to Calculate Number of Subsets of Set A?
Number of Subsets of Set A calculator uses Number of Subsets = 2^(Number of Elements in Set A) to calculate the Number of Subsets, Number of Subsets of Set A formula is defined as the total count of all possible sets including the elements of Set A and the null set. Number of Subsets is denoted by NS symbol.
How to calculate Number of Subsets of Set A using this online calculator? To use this online calculator for Number of Subsets of Set A, enter Number of Elements in Set A (n(A)) and hit the calculate button. Here is how the Number of Subsets of Set A calculation can be explained with given input values -> 1024 = 2^(10).