Question

if a set has n elements, then the number of relation on A is​

Answer 1

Answer:

A relation has ordered pairs (a,b). For anti-symmetric relation, if (a,b) and (b,a) is present in relation R, then a = b. (That means a is in relation with itself for any a). So for (a,a), total number of ordered pairs = n and total number of relation = 2n.

Answer 2

Answer :

if a set has n elements, then the number of relation on A is

2^(n)

Where , n is the number of elements