Latest Infosys Aptitude Question SOLUTION: 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

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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

Asked In Infosys Utsav Burman (10 years ago)

Solved Anand Read Solution (14)

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Read Solution (14) :

RAKESH  (10 years ago)

its will be 15*(15-1)= 15*14= 210

Is this solution Helpfull? Yes (51) | No (5)  

Avisek Mal  (10 years ago)

Ans is 2*15C2=210.

Is this solution Helpfull? Yes (37) | No (1)  

Anand  (10 years ago)

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

Is this solution Helpfull? Yes (26) | No (2)  

VISHNUVARDHANA  (10 years ago)

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.

Is this solution Helpfull? Yes (12) | No (1)  

ponselvi  (7 years ago)

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

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vamsi  (10 years ago)

15*(15-1)= 15*14= 210

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sudheer  (10 years ago)

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/

Is this solution Helpfull? Yes (1) | No (1)  

swapnika  (10 years ago)

i vl be 210

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Madhurima Chakraborty  (9 years ago)

2*(15C2) = 210

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amulya  (8 years ago)

please elaborate answers.unable to get clarity

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Amit Chauhan  (7 years ago)

Total no of matches=15c2 (singly played).
Total no of matches=2*15c2

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Tanmay kalita  (6 years ago)

it should be 15*(15-1)

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Darshit Soni  (5 years ago)

Let x =15th player who can play with other 14.
So, 14x + 14x + 14x + .... + 14x = 14(x) = 14(15) = 210

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Rakshith  (5 years ago)

210
n(n+1)

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