Verified Solution • 2025–26 Session moderate

QJEEAdv24Ma5c14: JEE Advanced 2024 Mathematics - Class 11 JEEAdv24Ma5c14 Solution: If , then the value of is _____

If n(X)=mC6n(X)={ }^m C_6 , then the value of mm is _____

Step-by-Step Verified Solution

∣a−b∣≥2 or ∣b−a∣=2|a-b| \geq 2 \text { or }|b-a|=2

Total

a=1amp;b=3,4,5,6amp;8a=2amp;b=4,5,6amp;6a=3amp;b=5,6amp;4a=4amp;b=6amp;2 sum =20\begin{array}{lll}a=1 & b=3,4,5,6 & 8 \\a=2 & b=4,5,6 & 6 \\a=3 & b=5,6 & 4 \\a=4 & b=6 & 2 \\\text { sum }=20\end{array}

amp;n(X)=20C6=mC6amp; m=20\begin{aligned}& \mathrm{n}(\mathrm{X})={ }^{20} \mathrm{C}_6={ }^{\mathrm{m}} \mathrm{C}_6 \\& \mathrm{~m}=20\end{aligned}

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