COMPASSLearning
RegisterLogin

JEE Main · 2021 · 17 Mar 2021 · Shift 2 · Permutations and Combinations

WhatsApp Email
If the sides and of triangle 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:
  1. (A)360
  2. (B)333✓ Correct
  3. (C)364
  4. (D)240

Answer: (B)

Solution

The three sides carry points in all, giving choices of three points.
A choice fails to give a triangle exactly when its three points lie on one side, and that happens in

ways. The number of triangles is .

JEE Main · 2021 · 17 Mar 2021 · Shift 2 · Single correct option

Practise more: all JEE Main PYQs on Permutations and Combinations →

More JEE Main questions on Permutations and Combinations

  1. The number of strictly increasing functions f from the set to the set such that for , is equal to :
    JEE Main 2026View solution →
  2. Let . If the number of elements ( ) in S such that is a multiple of 5 is p and the number of elements …
    JEE Main 2026View solution →
  3. The largest , for which divides 101!, is:
    JEE Main 2026View solution →
  4. Let ABC be a triangle. Consider four points , on the side AB , five points on the side BC and four points …
    JEE Main 2026View solution →
  5. Let S be the set of the first 11 natural numbers. Then the number of elements in and the product of all elements of B is even is
    JEE Main 2026View solution →
  6. The number of 4-letter words, with or without meaning, which can be formed using the letters PQRPQRSTUVP, is ______.
    JEE Main 2026View solution →