Question

Find the total number of binary operations on {a,b}.

Answer 1

Answer:

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Step-by-step explanation:

Given set S = a,b, we need to find the total number of binary operations.

We know that the total number of binary operations on a set ‘S’ with ‘n’ elements is given by n^n^n

Here n=2,

⇒n^n^n

=2²^²

⇒n ^n^n

=2⁴

=16

∴ the total number of possible binary operations are 16

Answer 2

Answer:

2⁴= 16 are the total no of binary operations on {a,b}