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2.Relations and Functions
easy
Let $A = \{1, 2, 3\}$. The total number of distinct relations that can be defined over $A$ is
A
${2^9}$
B
$6$
C
$8$
D
None of these
Solution
(a) $n(A \times A) = n(A).n(A) = {3^2} = 9$
So, the total number of subsets of $A \times A$ is ${2^9}$ and a subset of $A \times A$ is a relation over the set $A$.
Standard 11
Mathematics