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Question

In the chess championship, 153 games have been played. If a player with every other player plays only once, then the no. of players are?


A

17

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B

51

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C

18

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D

35

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Solution

The correct option is C

18


Explanation for the correct option:

Finding the number of players:

Number of players requires in chess =2

Total number of games =153

Let the required number of players be n then

C2n=153n(n-1)2=153n(n-1)=306n2-n-306=0n2-18n+17n-306=0(n+17)(n18)=0n=18orn=-17

Here n=-17is not satisfied son=18 be the required number of payers

Hence, option C is the correct option.


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