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Eight football clubs are to play in a league on home and away basis. How...

Further Mathematics
WAEC 2009

Eight football clubs are to play in a league on home and away basis. How many matches are possible?

  • A. 14
  • B. 28
  • C. 56
  • D. 128
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Correct Answer: Option C
Explanation

Number of matches possible = \(2 \times ^{8}C_{2}\) (Home and away repitition of the matches)

= \(2 \times \frac{8!}{(8 - 2)! 2!}\)

= \(2 \times 28\)

= 56


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