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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

.

Section: Mathematics

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Question : 3 of 27

Marks: +1, -0

If

n(X)={ }^m C_6

, then the value of

m

[JEE Adv 2024 P2]

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