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9709 P6 - Jun 2005 - Q7
2879

A football team consists of 3 players who play in a defence position, 3 players who play in a midfield position and 5 players who play in a forward position. Three players are chosen to collect a gold medal for the team. Find in how many ways this can be done:

  1. if the captain, who is a midfield player, must be included, together with one defence and one forward player,
  2. if exactly one forward player must be included, together with any two others.
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