Verified Solution • 2025–26 Session moderate

QJEEM21Ma051f: JEE Main 2021 Mathematics - Class 11 JEEM21Ma051f Solution: If the sides AB, BC and CA of a triangle ABC have 3, 5 and 6…

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 :

Multiple Choice Options

  • A 240
  • B 360
  • C 333
  • D 364

Step-by-Step Verified Solution

JEE Main 2021 (Online) 17th March Evening Shift Mathematics - Permutations and Combinations Question 119 English Explanation
Total number of triangles

= 14C3−3C3−5C3−6C3{}^{14}{C_3} - {}^3{C_3} - {}^5{C_3} - {}^6{C_3}

= 364 – 31 = 333

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring