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Relations and Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsRelations and Functions1 Mark
MCQ
The number of commutative binary operation that can be defined on a set of $2$ elements is:
  • A
    $8$
  • B
    $6$
  • C
    $4$
  • ✓
    $2$
✓

Answer

Correct option: D.
$2$
The number of commutative binary operations on a set of $n$ elements is $\text{n}\frac{\text{n}(\text{n}-1)}{2}.$
Therefore,Number of commutative binary operations an a set of $2$ elements $=2\frac{2(2-1)}{2}=2^1$
$=2$

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