15 tennis players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?

A. 190
B. 200
C. 210
D. 220
E. 225

• its will be 15*(15-1)= 15*14= 210
• 10 years agoHelpfull: Yes(51) No(5)
• Ans is 2*15C2=210.
• 10 years agoHelpfull: Yes(37) No(1)
• 15 th player can play with remaining 14 members two times = 2*14=28
  14 th " remaining 13= 2*13=26
  2*(1+2+3+4+......+14)=2(14)(14+1)/2=210
• 10 years agoHelpfull: Yes(26) No(2)
• c) 210
  number of games played by each player with others = 2*14=28
  total number of games = (15*28)/2 = 210
  a game played by two players thats why we divide with 2.
• 10 years agoHelpfull: Yes(12) No(1)
• Let's consider a case where we have 3 players (A,B,C) and every player need to play with the other twice.
  A: plays with B & C
  B: Plays with A & C
  C: Plays with A & B
  
  In the above cases, A plays with B is same as B plays with A. So it is counted as two times playing (i.e they are playing against each other twice.)
  
  so 3*2 = 6 games
  
  Similarly for 15 persons, its 15*14 = 210
• 7 years agoHelpfull: Yes(11) No(0)
• 15*(15-1)= 15*14= 210
• 10 years agoHelpfull: Yes(1) No(0)
• 15 piayers plays the game..so one player has to play against 14 players twice..so ne player plays 28 games then 15 player plays==28*15/
• 10 years agoHelpfull: Yes(1) No(1)
• i vl be 210
• 10 years agoHelpfull: Yes(0) No(0)
• 2*(15C2) = 210
• 9 years agoHelpfull: Yes(0) No(0)
• please elaborate answers.unable to get clarity
• 8 years agoHelpfull: Yes(0) No(0)
• Total no of matches=15c2 (singly played).
  Total no of matches=2*15c2
• 7 years agoHelpfull: Yes(0) No(0)
• it should be 15*(15-1)
• 6 years agoHelpfull: Yes(0) No(0)
• Let x =15th player who can play with other 14.
  So, 14x + 14x + 14x + .... + 14x = 14(x) = 14(15) = 210
• 5 years agoHelpfull: Yes(0) No(0)
• 210
  n(n+1)
• 5 years agoHelpfull: Yes(0) No(2)