The number of binary operation that can be defined on a set of 2 … - Vidyadip

MCQ

The number of binary operation that can be defined on a set of 2 elements is:

A
8
B
4
✓
16
D
64

✓

Answer

Correct option: C.

16

Total number of binary operations on a set containing n elements is
$\text{(n)}^{\text{n}^2}$ so for n = 2 we have $(2)^{2^2}=2^4=16$

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