Question

there are 10 soccer teams in the Sunnydale soccer league. Each team will play every other team once. How many games will there be in total?

Answer 1

1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10
1-3 2-4 3-5 4-6 5-7 6-8 7-9 8-10
1-4 2-5 3-6 4-7 5-8 6-9 7-10
1-5 2-6 3-7 4-8 5-9 6-10
1-6 2-7 3-8 4-9 5-10
1-7 2-8 3-9 4-10
1-8 2-9 3-10
1-9 2-10
1-10

each team is numbered 1 to 10
THERE ARE 45 GAMES