The number of binary operation that can be defined on a set of 2 elements is
(a) 8
(b) 4
(c) 16
(d) 64

Open in App

Solution

(c) 16

We know that the number of binary operations on a set of n elements is $n^{n^{2}}$ .

So, the number of binary operations on a set of 2 elements is $2^{2^{2}} (2^{4}), i . e . 16 .$

Suggest Corrections

Similar questions

= {

}

A binary operation can be defined only on the set of real numbers

^{'} *^{'}

a * b = a + b - 2

^{'} *^{'}

Let * be a binary operation defined on set of rational numbers, by a * b = $\frac{a b}{10}$ . Find the identity element.

Join BYJU'S Learning Program