JEE Advanced2024MathematicsSets and RelationsActual

If n(X)= ^m C₆ , then the value of m is

Correct answer

Step-by-step solution

(S= 1,2,3,4,5,6 R: S S ) Number of elements in (R=6 ) and for each ((a, b) R ;|a-b| 2 ) (X ) set of all relation (R: S S ) If (a=1, b=3,4,5,6 (4) ) (a=2, b=4,5,6 (3) ) (a=3, b=1,5,6 (3) ) (a=4, b=1,2,6 (3) ) (a=5, b=1,2,3 (3) ) (a=6, b=1,2,3,4 (4) ) Total number of ordered pairs ((a, b) ) s.t. (|a-b| 2 =20 ) ( n(X)= ) number of elements in ( X = ²⁰ C₆ ) ( m=20 )

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