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

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
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