The Championships Wimbledon starts on Monday. After a fortnight of knockout matches, two champions are crowned. 

Supposing 2n players start the women’s tournament (where n is an integer),

- If we assume all players play a match in the first round, and ignore seeding, how many possible pairings are there for the first round matches?

- What is the smallest number of rounds required to crown a champion?

- How many matches are required to crown a champion?

There is a 'best' way of doing the last part.  Can you find it?