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2.Relations and Functions
easy
Let $A = \{1, 2, 3, 4, 5\}; B = \{2, 3, 6, 7\}$. Then the number of elements in $(A × B) \cap (B × A)$ is
A
$18$
B
$6$
C
$4$
D
$0$
Solution
(c) Here $A$ and $B$ sets having $2$ elements in common, so $A \times B$ and $B \times A$ have ${2^2}$ i.e., $4$ elements in common.
Hence, $n\,[(A \times B) \cap (B \times A)] = 4$.
Standard 11
Mathematics
