PARAGRAPH – 1
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 \( |a-b| \ge 2 \).
Let \( Y = \{\, R \in X : \text{ The range of } R \text{ has exactly one element} \,\} \) and \( Z = \{\, R \in X : R \text{ is a function from } S \text{ to } S \,\} \).
Let \( n(A) \) denote the number of elements in a set \( A \).
If $n(X) = {}^m C_6$, then the value of $m$ is ______________.
