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[JEE Main 2012] Of $10$ points, $6$ are collinear. If $N$ is the number of triangles, then

VAVidaara Admin Asked 1mo ago 1 views 1 answer
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Of $10$ points, $6$ are collinear. If $N$ is the number of triangles, then

(a) $N\le100$
(b) $100<N\le140$
(c) $140<N\le190$
(d) $N>190$

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 1mo ago ▲ 0

Correct answer: (a) $N\le100$

$N=\binom{10}3-\binom63=120-20=100$, so $N\le100$.

JEE Main 2012 · Permutations and Combinations — verified solution by the Vidaara Team.

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