a six-team hockey league has a schedule requiring each team to play each of the other teams 9 times. How many games will be played in total
135 times in all.
Hey Sv can you give a small reason as to how you got the answer. it will be much appreciated.
1) Count the total number of games that each team plays; then, since that counts each game twice, divide by 2:
(number of teams) times (number of opposing teams) times (number of times per season)
6*5*9 = 270
then divide by 2
270/2 = 135
OR, to be a bit more sophisticated mathematically....
(2) Determine the number of pairings and multiply by the number of times per season that each pairing occurs:
(6 choose 2) times (number of times per season)
6C2 * 9 = 15*9 = 135