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There are 14 teams in a basketball league. Each team plays every other team twice during the season. a) Suppose that you want
Question
There are 14 teams in a basketball league.
Each team plays every other team twice
during the season.
a) Suppose that you want to determine
how many games, in total, are played.
Suggest a simpler problem that you
could solve first.
b) How many games, in total, are played
during the season?
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Mathematics
4 years
2021-08-14T09:04:53+00:00
2021-08-14T09:04:53+00:00 1 Answers
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Answers ( )
Answer:
Step-by-step explanation:
Given that :
Number of teams = 14
Each team plays every other team twice ;
Using the combination formula :
nCr = n! ÷ (n-r)! r!
14C2 = 14! ÷ (14 – 2)! 2!
14C2 = 14! ÷ (12)! 2!
14C2 = (14 * 13) ÷ 2 * 1
14C2 = 182 / 2
14C2 = 91
Hence, since they are going to be playing each other twice :
2(14C2)
2 * 91 = 182games