# Number Of Symmetric Relations On A Set Of N Elements

Number Of Symmetric Relations On A Set Of N Elements. Where n denotes the number of symmetric. Hence, the number of symmetric relations is 2 n.

Symmetric relations for a set having 'n' number of elements is given as. Since the number of relations can be very large, print it modulo 10 9. Firstly we must select whether a ∼ a for every a and secondly we must decide for each unordered pair { a, b } if a ∼ b.

### The Number Of Symmetric Relations On A Set With ‘N’ Elements Is Given By The Formula:

In this video, we show how to count the total number of possible symmetric relations on a set having 'n' elements. The number of subsets of pairs of the form (a, a) is. Given a positive integer n, the task is to find the number of asymmetric relations in a set of n elements.

### However, We Can Count The Number Of Symmetric Relations.

Symmetric relations for a set having 'n' number of elements is given as. There are 3 possible choices for all pairs. Firstly we must select whether a ∼ a for every a and secondly we must decide for each unordered pair { a, b } if a ∼ b.

### Since The Number Of Relations Can Be Very Large, Print It Modulo 10 9.

Where n denotes the number of symmetric. Hence, the number of symmetric relations is 2 n.