CBSE BoardEnglish MediumSTD 11 ScienceMathsModel Paper 101 Mark
MCQ
Number of relations that can be defined on the set A = {a, b, c, d} is
A
24
B
$4^4$
C
16
D
$2^{16}$
✓
Answer
(d) $2^{16}$ Explanation: No. of elements in the set $A =4$. Therefore, the no. of elements in $A \times A=4 \times 4=16$. As, the no. of relations in $A \times A=$ no. of subsets of $A \times A=2^{16}$.
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