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 $16.$
$n(A) = 2$
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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