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WAEC - Further Mathematics (2009 - No. 32)

Eight football clubs are to play in a league on home and away basis. How many matches are possible?
14
28
56
128

Forklaring

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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