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| Question 604708:  There are 10 first-tier national rugby union teams.
 (a) How many different two-team pairings are possible among those 10 teams.
 I guess, the answer to this will be C(10,2) = 45 ways
 I am stuck in the following
 (b) how many different ways are there to select a 1st, 2nd and 3rd ranked teams from these teams
 (c) Suppose 4 teams are going to gather in Sydney, the other 6 teams in Melbourne. How many ways it can be done?
 Thanks
 
 Answer by scott8148(6628)
      (Show Source): 
You can put this solution on YOUR website! (b) P(10,3) ___ because order (1st, 2nd or 3rd) is significant 
 (c) C(10,4) ___ or C(10,6); the values are the same
 ___ ALL the teams are selected, so selecting 4 for one venue automatically selects 6 for the other venue
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