In a carrom board game competition, m boys and n girls (m > n> 1) of a school participate in which every student has to play exactly one game with every other student. Out of the total games played, it was found that in 221 games one player was a boy and the other player was a girl.
Consider the following statements:
1. The total number of students that participated in the competition is 30.
2. The number of games in which both players were girls is 78.
Which of the statements given above is/are correct?
Both 1 and 2
Neither 1 nor 2
Correct Answer is: Both 1 and 2
When ten persons shake hands with one another, in how many ways is it possible?
Correct Answer is: 45
Each person’s performance compared with all other persons is to be done to rank them subjectively. How many comparisons are needed in total, if there are 11 persons?
Correct Answer is: 55
In a tournament 14 teams play league matches. If each team plays against every other team once only then how many matches are played?