JEE Main 2019MathematicsPermutation CombinationMediumMCQ

JEE Main 2019 — Permutation Combination Question with Solution

JEE Main 2019 (12 Apr Shift 1)

Question

If three of the six vertices of a regular hexagon are chosen at random, then the probability that the triangle formed with these chosen vertices is equilateral is:

Choose an option

Show full solutionCorrect option: A
Correct answer
A110

Step-by-step explanation

Total number of ways of selecting three points from vertices of a regular hexagon

= C3 6=6.5.41.2.3=20
Favorable selection (forming equilateral triangle)
=2 ACE, BDF
⇒ Required probability P=Number of favourable selectionsTotal selections
=220=110

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About this question

This is a previous-year question from JEE Main 2019, covering the Permutation Combination chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.