Five teams have to compete in a league, with every team playing every other team exactly once before going to the next round. How many matches will have to held to complete the league round of matches?

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 10
(b)

$T o t a l n u m b e r o f m a t c h e s 5_{C_{2}} = 10$

Suggest Corrections

Similar questions

Q. A league has 10 teams where each team plays every other team exactly twice. How many games would be played in total in the tournament?

Q. A league tournament was played between the teams Australia, Bangladesh, Canada and Zimbabwe in which each team played every other team exactly once. There were no ties or abandoned matches. All the results followed the rule that in a match between two teams, the team which had won a larger number of matches out of all their previous encounters won this match. Which team won the largest number of matches?

Q. In a cricket tournament every team played only once with the other team. In a total

153

matches are held. How many teams participated in the tournament?

Q. In the next world cup of cricket there will be

12

teams, divided equally in two groups. Teams of each group will
play a match against other. From each group

3

top teams will qualify for the next round. In this round each
team will play against others once. Four top teams of this round will qualify for the semifinal round, when each team will play against the others once. Two top teams of this round will go to the final round, where they will play the best of three matches. The minimum number of matches in the next world cup will be

The bottom two teams will be relegated to the B League at the end of the league. Assuming each team has to play a total of 22 matches and all the remaining matches of the league turn out to be draws. Which two teams will be relegated (if teams have the same number of points then the team with fewer wins will be relegated)?

Join BYJU'S Learning Program

Five teams have to compete in a league, with every team playing every other team exactly once before going to the next round. How many matches will have to held to complete the league round of matches?

The correct option is B 10(b) Total number of matches 5C2=10

The correct option is B 10
(b)

$T o t a l n u m b e r o f m a t c h e s 5_{C_{2}} = 10$