Question

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 be held to complete the league round of matches?
1. 20
2. 10
3. 8
4. 5

Answer 1

Correct Answer - Option 2 : 10

For a match to be played, we need 2 teams.

No of matches = no. of ways of selections 2 teams out of 5 \(= {5_{{{\rm{C}}_2}}} = 10\)