Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Please help! There are m men and two women participating in a chess tournament. Each paricipant 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 an

There are m men and two women participating in a chess tournament. Each paricipant 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 :

  • Option 1)

     

    9

  • Option 2)

     

    11

  • Option 3)

    12

  • Option 4)

    7

Answers (1)

best_answer

 

Theorem of Combination -

Each of the different groups or selection which can be made by taking r things from n things is called a combination.

^{n}c_{r}=\frac{(n)!}{r!(n-r)!}

- wherein

Where 1\leq r\leq n

 

^{m}\textrm{C}_{2}\times 2-^{m}\textrm{C}_{1}\times ^{2}\textrm{C}_{1}\times 2=8y\\\\m(m-1)-4m=84\\\\\Rightarrow (m-12)(m+7)=0\\\\\Rightarrow m=12

 


Option 1)

 

9

Option 2)

 

11

Option 3)

12

Option 4)

7

Posted by

admin

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2024 session 2 result date announced; Steps to check NTA session 2 scores
anam-khan

JEE Main 2024 session 2 final answer key soon at jeemain.nta.ac.in; result on April 25
anam-khan

JEE Main 2024 Session 2: Last day to challenge answer key today

Latest Question