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 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

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 ______.

Total number of words that can be formed using all letters of the word BRIJESH that neither begins with I nor ends with B is equal to a. 3720 b. 4920 c. 3600 d. 4800

In a certain test, there are n question. In the test, 2^(n-i) students gave wrong answers to at least i questions, where i=1, 2,.............,n if the total number of wrong answers given is 2047, then n is equal to a. 10 b. 11 c. 12 d. 13

A class contains three girls and four boys. Every Saturday, five go on a picnic (a different group of students is sent every week). During the picnic, each girl in the group is given a doll by the accompanying teacher. If all possible groups of five have gone for picnic once, the total number of dolls that the girls have got is a. 21 b. 45 c. 27 d. 24

Total number of six-digit numbers that can be formed having the property that every succeeding digit is greater than the preceding digit is equal to a. ^9C_3 b. ^10 C_3 c. ^9p_3 d. ^10 p_3

A team of four students is to be selected from a total of 12 students. The total number of ways in which the team can be selected such that two particular students refuse to be together and other two particular students wish to be together only is equal to a. 220 b. 182 c. 226 d. none of these

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.