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Sandy Mann
 
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Default Tennis set combinations

Raigmore,

Well, as you said there is only one combination for a 6-0 win but for 6-1
there will be 6 combinations and for 6-2 there are 21 combinations. This
fits in with the formula: =SUM( COMBIN( {list of total games in Sets} ,
{ No of wins for played No 2} ) +1 ie

=SUM(COMBIN({7,8}-1,{1,2}))+1

array entered with Ctrl + Shift + Enter

if that is not just a coincidence then the array formula:

=SUM(COMBIN({7,8,9,10,11}-1,{1,2,3,4,5}))+1

will give us 462 possible combinations for a win.

Of course my maths is no where near good enough to prove that this is true,
perhaps one of the clever people around here can chip in and tell us.


--
HTH

Sandy

with @tiscali.co.uk

"Raigmore" wrote in
message ...

I would be grateful for help with listing all the possible game
combinations within a set of tennis.

I just need to list all the possible combinations of which player (1 or
2) wins each game.

So for 6-0 to a player it is obviously 1,1,1,1,1.

6-1 can be 1,1,1,1,1,2,1 etc

Is there a way excel can list all the possible combinations?

Even if I just have a combination of all the ways 1 and 2 can win in a
12 game period.

I guess it is just 2*2*2*2*2 etc but how do I list it in 1s and 2s?


Hope this is clear!


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Raigmore
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