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1.Relation and Function
easy
If $A$ is the set of even natural numbers less than $8$ and $B$ is the set of prime numbers less than $7$, then the number of relations from $A$ to $B$ is
A
${2^9}$
B
${9^2}$
C
${3^2}$
D
${2^{9 - 1}}$
Solution
(a) $A=\{2,\,4,\,6\}$; $B = \{ 2,\,3,\,5\} $
$\therefore $ $A \times B$ contains $3 \times 3 = 9$ elements.
Hence, number of relations from $A$ to $B$ $ = {2^9}$
Standard 12
Mathematics
