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 $A$.
(There are two questions based on PARAGRAPH "I", the question given below is one of them)
If $n(X)={ }^m C_6$, then the value of $m$ is
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