The members of a chess club took part in a round robin competition in which each player plays with other once. All members scored the same number of points, except four juniors whose total score ere 17.5. How many members were there in the club? Assume that for each win a player scores 1 point, 1/2 for a draw, and zero for losing.

Three players play a total of 9 games.In each game,one person wins and the other two lose; the winner gets 2 points and the losers get -1 each.The number of ways in which they can play all the 9games and finish each with a zero score is

In a shooting competition a man can score 5, 4, 3, 2, 1 or 0 points for each shot. Then the number of different ways in which he can score 10 in seven shots is

In a certain game,each player scores either 2 points or 5 points.If n players score 2 points and m players score 5 points,and the total number of points scored is 50, what is the least possible difference between m and n? (a) 1 (b) 3 (c) 5 (d) 7

A, B, C D, ..................X, Y, Z are the players who participated in a tournament. Everyone played with every other player exactly once. A win scores 2 points, a draw scores 1 point and a loss scores 0 points. None of the matches ended in a draw. No two players scored the same score. At the end of the tournament, the ranking list is published which is in accordance with the alphabetical order. Then

8 players compete in a tournament,everyone plays everyone else just once.The winner of a game gets 1, the loser 0 or each gets 1/2 if the game is drawn.The final result is that every one gets a different score and the player placed at second gets the same score as the total of four bottom players.