Question

Let $A=\{7,8,9,a,b,c\}$ and $B=\{1,2,3,4\}$ then number of universal relation from the set $A$ to set $B$ and set $B$ to set $A$ are

• A. equal in counting
• B. can not be equal in counting
• C. $24$
• D. $2^6\times 2^4$

Answer 1

The correct option is C $24$

Relation $R$ is said to be universal relation from set $A$ to set $B$ or set $B$ to set $A$ if $R=A\times B$

$\therefore$ Number of relations from $A$ to $B$ for $R=A\times B$ $=n\left(A\right)\times n\left(B\right)=6\times 4=24$

Ans: C