What is a Relation?
A Relation in mathematics are used to describe a connection between the elements of two sets. They help to map the elements of one set (known as the domain) to elements of another set (called the range) such that the resulting ordered pairs are of the form (input, output). It is is a subset of the cartesian product of two sets. Suppose there are two sets given by X and Y. Let x ∈ X (x is an element of set X) and y ∈ Y. Then the cartesian product of X and Y, represented as X × Y, is given by the collection of all possible ordered pairs (x, y). In other words, a relation says that every input will produce one or more outputs.
How to Calculate Number of Asymmetric Relations on Set A?
Number of Asymmetric Relations on Set A calculator uses Number of Asymmetric Relations = 3^((Number of Elements in Set A*(Number of Elements in Set A-1))/2) to calculate the Number of Asymmetric Relations, The Number of Asymmetric Relations on Set A formula is defined as the number of binary relations R on a set A which are not symmetric, which means for all x and y in A, if (x,y) ∈ R, then (y,x) ∉ R. Number of Asymmetric Relations is denoted by NAsymmetric Relations symbol.
How to calculate Number of Asymmetric Relations on Set A using this online calculator? To use this online calculator for Number of Asymmetric Relations on Set A, enter Number of Elements in Set A (n(A)) and hit the calculate button. Here is how the Number of Asymmetric Relations on Set A calculation can be explained with given input values -> 27 = 3^((3*(3-1))/2).