Sign in
Please select an account to continue using cracku.in
↓ →
In a chess tournament there are 5 contestants. Each player plays against all the others exactly once. No game results in a draw. The winner in a game gets one point and the loser gets zero point. Which of the following sequences cannot represent the scores of the five players?
It is given, 5 contestants are participating in the tournament and each player plays against all the other players exactly once.
So, we can say each player plays 4 matches.
Suppose a player wins all the 4 matches, he will get 4*1=4 points.
In option (c), 2 players are getting 4 points.
This case is not possible because if one player is getting 4 points, he/she has to win all 4 matches. Now when he/she wins all 4 matches, the other players will definitely lose one match for sure. So, other player(s) can't have 4 points.
So, two players getting 4 points is not possible.
So, option (c) is the correct choice
Create a FREE account and get: