Verified Solution • 2025–26 Session moderate

QJEEM19Ma1d15: JEE Main 2019 Mathematics - Class 11 JEEM19Ma1d15 Solution: There are m men and two women participating in a chess…

There are m men and two women participating in a chess tournament. Each participant plays two games with every other participant. If the number of games played by the men between themselves exceeds the number of games played between the men and the women by 84, then the value of m is :

Multiple Choice Options

  • A 12
  • B 9
  • C 7
  • D 11

Step-by-Step Verified Solution

Let m-men, 2-women

mC2 ×\times 2 = mC1 2C1 . 2 + 84

m2 −- 5m −- 84 = 0 ⇒\Rightarrow (m −- 12) (m + 7) = 0

m = 12

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