2.Relations and Functions
easy

બે શાંન્ત ગણ $A$  અને $B$ આપેલ છે કે જેથી $n(A) = 2, n(B) = 3 $ હોય તો $A$ થી $B$ પરના કુલ સંબંધની સંખ્યા મેળવો.

A

$4$

B

$8$

C

$64$

D

એકપણ નહી.

Solution

(c) Here $n(A \times B) = 2 × 3 = 6$

Since every subset of $A × B$ defines a relation from $A$ to $B$, number of relation from $A$ to $B$ is equal to number of subsets of $A \times B = {2^6} = 64$.

Standard 11
Mathematics

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