Permutation and Combination: If the sides AB , BC and CA of a triangle ABC have 3,5 and 6… | JEE Main 2021

JEE Main 2021 (Online) 17th March Evening ShiftQuestion 1

If the sides $AB$, $BC$ and $CA$ of a triangle $ABC$ have $3,5$ and $6$ interior points respectively, then the total number of triangles that can be constructed using these points as vertices, is equal to :

Permutation and Combination

$360$$364$$333$✓ Correct answer$240$

Solution

14 points total: $\binom{14}3-\binom33-\binom53-\binom63=364-1-10-20=333$. Option C.

Permutation and Combination - JEE Mathematics question (JEE Main 2021 (Online) 17th March Evening Shift)

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