Question

The number of relations defined from the set of letters of the word 'DIGITAL' to the set of letters of the word 'OFFLINE' is

• A. $2^{7^2}$
• B. $2^{6^2}$
• C. $7^7$
• D. $6^6$

Answer 1

The correct option is B $2^{6^2}$

Set of letters of the word 'DIGITAL' is $X=\{D,I,G,T,A,L\}$
Set of letters of the word 'OFFLINE' is $Y=\{O,F,L,I,N,E\}$
Number of relations $=2^{n\left(X\right)\cdot n\left(Y\right)}$
$=2^{6\cdot 6}=2^{6^2}$