[JEE Advanced 2014] Join $n$ points on a circle pairwise. Adjacent-pair segments are blue, the rest red. If red and blue counts are equal, find $n$.
Join $n$ points on a circle pairwise. Adjacent-pair segments are blue, the rest red. If red and blue counts are equal, find $n$.
1 Answer
VAVidaara Admin
✓ Vidaara Team
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· 1mo ago
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Answer: $n=5$.
Blue $=n$, red $=\binom n2-n$. Equal: $n=\frac{n(n-1)}2-n\Rightarrow n=5$.
JEE Advanced 2014 · Permutations and Combinations — verified solution by the Vidaara Team.
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