Originally posted by venda
I sometimes watch this programme on U.K t.v and I got to thinking about the maths behind it:-
There are 15 players each day.
Each day 3 players get through to the final round and take no further part in the game.
These 3 are replaced on day 2 by three new players making 15 again.
A player is allowed 3 attempts(i.e 3 days) to get to the final round and if h ...[text shortened]... player 15 for example gets to the final on his 2nd attempt ? or any other random combination[/b]
Players who do not make the final are there for 3 days.
Players who do make the final may have played 1 or 2 or 3 days.
Consider a new series beginning Monday.
3 finalists leave and are replaced.
The 3 replacements could make the final.
Same again next day.
After Wednesdays game 21 players have taken part and are eliminated.
But if the none of the replacements make any final after Wednesdays game
(all finalists are from original 15) only 15 have been eliminated. 6 go on to