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Relations and Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsRelations and Functions1 Mark
MCQ
Number of binary operations on the set $\{a, b\}$ are:
  • A
    $8$
  • B
    $20$
  • C
    $10$
  • ✓
    $16$
✓

Answer

Correct option: D.
$16$
Let the given set be $A = {a, b}$
$n(A) = 2$
Total number of binary operations $= 2(2 \times$ Number of elements in the set$)$
$=2^{(2 \times 2)}$
$=2^4$
$= 16$
Therefore, the number of binary operations on the set $\{a, b\}$ are $16.$

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