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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
Read Solution (Total 14)
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- 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
- 10 years agoHelpfull: Yes(0) No(0)
- please elaborate answers.unable to get clarity
- 9 years agoHelpfull: Yes(0) No(0)
- Total no of matches=15c2 (singly played).
Total no of matches=2*15c2 - 8 years agoHelpfull: Yes(0) No(0)
- it should be 15*(15-1)
- 7 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 - 6 years agoHelpfull: Yes(0) No(0)
- 210
n(n+1) - 6 years agoHelpfull: Yes(0) No(2)
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