SOLUTION: 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) =

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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) About Me  (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