Number of Subsets of Set A Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Subsets = 2^(Number of Elements in Set A)
NS = 2^(n(A))
This formula uses 2 Variables
Variables Used
Number of Subsets - Number of Subsets is the total count of all possible sets including the elements of Set A and the null set.
Number of Elements in Set A - Number of Elements in Set A is the total count of elements present in the given finite set A.
STEP 1: Convert Input(s) to Base Unit
Number of Elements in Set A: 10 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
NS = 2^(n(A)) --> 2^(10)
Evaluating ... ...
NS = 1024
STEP 3: Convert Result to Output's Unit
1024 --> No Conversion Required
FINAL ANSWER
1024 <-- Number of Subsets
(Calculation completed in 00.004 seconds)

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5 Subsets Calculators

Number of Non Empty Subsets of Set A
Go Number of Non Empty Subsets of Set A = 2^(Number of Elements in Set A)-1
Number of Non Empty Proper Subsets of Set A
Go Number of Non Empty Proper Subsets = 2^(Number of Elements in Set A)-2
Number of Proper Subsets of Set A
Go Number of Proper Subsets of Set A = 2^(Number of Elements in Set A)-1
Number of Odd Subsets of Set A
Go Number of Odd Subsets of Set A = 2^(Number of Elements in Set A-1)
Number of Subsets of Set A
Go Number of Subsets = 2^(Number of Elements in Set A)

Number of Subsets of Set A Formula

Number of Subsets = 2^(Number of Elements in Set A)
NS = 2^(n(A))

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).

FAQ

What is Number of Subsets of Set A?
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 and is represented as NS = 2^(n(A)) or Number of Subsets = 2^(Number of Elements in Set A). Number of Elements in Set A is the total count of elements present in the given finite set A.
How to calculate Number of Subsets of Set A?
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 is calculated using Number of Subsets = 2^(Number of Elements in Set A). To calculate Number of Subsets of Set A, you need Number of Elements in Set A (n(A)). With our tool, you need to enter the respective value for Number of Elements in Set A and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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