Question

The total number of relation of a finite set having 4 elements is

​

Answer 1

We can select first element of ordered pair in n ways and second element in n ways.

So, clearly this set of ordered pairs contain n

2

pairs.

Now, each of these n

2

ordered pairs can be present in the relation or can't be. So, there are 2 possibilities for each of the n

2

ordered pairs.

Thus, the total no. of relations is 2

n

2

Answer 2

Answer:

512

Step-by-step explanation:

There are 512 relations on a set with 3 elements.

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