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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

 Oct 25, 2019
 #1
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135 times in all.

 Oct 25, 2019
 #2
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Hey Sv can you give a small reason as to how you got the answer. it will be much appreciated.

Guest Oct 25, 2019
 #3
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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

SVS2652  Oct 26, 2019

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