jee_main_2026_22_january_morning - Permutations and Combinations Topics

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QUESTION #25 Geometry Based Combinatorics
Let ABC be a triangle. Consider four points p₁, p₂, p₃, p₄ on the side AB, five points p₅, p₆, p₇, p₈, p₉ on the side BC and four points p₁₀, p₁₁, p₁₂, p₁₃ on the side AC. None of these points is a vertex of the triangle ABC. Then the total number of pentagons, that can be formed by taking all the vertices from the points p₁, p₂, .... p₁₃, is ____.
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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)

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