There are 2 women participating in a chess tournament. Every participant played 2 games with the other participants. The number of games that the men played between themselves exceeded by 66 as compared to the number of games that the men played with women. If the number of participants is `n` , then the value of `n-6` is ______.

There were two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played among themselves proved to exceed by 66 number of games that the men played with the women. The number of participants is a. 6 b. 11 c. 13 d. none of these

There are m men and two women participating in a chess tournament. Each participant plays two games with every other participant. If the number of games played by the men between themselves exceeds the number of games played between the men and the women by 84, then teh value of m is

In a class tournament, all participants were to plan different game with one another. Two players fell ill after having played three games each. If the total number of games played in the tournament is equal to 84, the total number of participants in the beginning was equal to a. 10 b. 15 c. 12 d. 14

m' men and 'n' women are to be seated in a row so that no two women sit next to each other. If mgen then the number of ways in which this can be done is

In a class of 50 boys, 35 boys play carom and 20 boys play chess then the number of boys play both games is

There are 3 men and 7 women taking a dance class. If N ils number of different ways in which each man be paired with a women partner, and the four remaining women be paired into two pairs each of two, then the value of N//90 is_________.

Aa n dB participate in a tournament of best of 7 games. It is equally likely that either A wins or B wins or the game ends in a draw. What is the probability that A wins the tournament.

116 people participated in a knockout tennis tournament. The players are paired up in the first round, the winners of the first round are paired up in the second round, and so on till the final is played between two players. If after any round, there is odd number of players, one player is given a by, i.e. he skips that round and plays the next round with the winners. The total number of matches played in the tournment is

Sixteen players S_(1),S_(2),…,S_(16) play in a tournament. They are divided into eight pairs at random. From each pair a winner is decided on the basis of a game played between the two players decided to the basis of a game played between the two players of the pair. Assume that all the players are of equal strength. (a) Find the prabability that the player S_(1) is among the eight winners. (b) Find the probability that exactly one of the two players S_(1)and S_(2) is among the eight winners.