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  4. If there are 2 elements in a set A , then what would be the number of possible relations from the set A to set A ?

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Q. If there are $ 2 $ elements in a set $ A $ , then what would be the number of possible relations from the set $ A $ to set $ A $ ?

J & K CETJ & K CET 2019

Solution:

Since there are $2$ elements in a set $A$.
$\therefore $ Number of possible relations from set $A$ to set $A$
$=2^{2^2} = 2^{4} =16$