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