Let S={1,2,3,4,5,6} and X be the set of all relations R from S to S that satisfy both the following propertiesi. R has exactly 6 elementsii. For each (a,b)∈R, we have |a−b|≥2.Let Y={R∈X: The range of R has exactly one element} and Z={R∈X:R is a function from S to S }Let n(A) denote the number of elements in a set A.

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Let $S = {1, 2, 3, 4, 5, 6}$ and X be the set of all relations R from S to S that satisfy both the following properties
i. R has exactly 6 elements
ii. For each $(a, b) \in R$ , we have $| a - b | \geq 2$ .
Let $Y = {R \in X :$ The range of R has exactly one element} and
$Z = {R \in X : R$ is a function from S to S }
Let $n (A)$ denote the number of elements in a set A.

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