Let (S) be a set containing (n) elements. Then, number of bi... | Mathematics | SolveeIt | Solveeit

Today, August 23

Question

Let $S$ be a set containing $n$ elements. Then, number of binary operations on $S$ is

A

$n^n$

B

$2^{n^{2}}$

C

$n^{n^{2}}$

D

$n^2$

Answer

$n^{n^{2}}$

Explanation

Solution

We know very well, that number of binary operations on at set $S$ having $n$ elements is $n^{n^{2}}$ .