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 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 the 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

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_________.

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

In a knockout tournament, 2^(n) equally skilld players, S_(1), S_(2), …, S_(2^(n)) are participating. In each round, players are divided in pairs at random and winner from each pair moves to the next round. If S_(2) reaches the semi-final, then the probability that S_(1) wins the tournament is (1)/(84) . The value of n is_______.

If the number of selections of 6 different letters that can be made from the words SUMAN and DIVYA so that each selection contains 3 letters from each word is N^2, then the value of N is________.

If the probability of a six digit number N whose six digit sare 1,2,3,4,5,6 written as random order is divisible by 6 is p , then the value of 1//p is__________.

If p be the first of n arithmetic means between two numbers and q be the first of n harmonic means between the same two numbers , then prove that the value of q can not lie between p and ((n+1)/(n-1))^2p .

Let nge2 be an integer .Take n distinct points ona circle and join each pair of points by a line segment .Colour the line segement joining every pair of adjacent points by blue and the rest by red . If the number of red and blue line segments are equal, then the value of n is

Let ngeq2 be integer. Take n distinct points on a circle and join each pair of points by a line segment. Color the line segment joining every pair of adjacent points by blue and the rest by red. If the number of red and blue line segments are equal, then the value of n is