Well that was a bit of fun! I'll cancel this question and give what I think is the answer, which is 51:
Starting with 7 Reds: 1
7 Reds
Starting with 5 Reds: 1
5 Reds-Yellow
Starting with 4 Reds: 2
4 Reds-Green
4 Reds-Yellow-Red
Starting with 3 Reds: 4
3 Reds-Brown
3 Reds-Green-Red
3 Reds-Yellow-2 Reds
3 Reds-Yellow-Yellow
Starting with 2 Reds: 6
2 Reds-Blue
2 Reds-Brown-Red
2 Reds-Green-2 Reds
2 Reds-Green-Yellow
2 Reds-Yellow-3 Reds
2 Reds-Yellow-Red-Yellow
Starting with Red: 10
Red-Pink
Red-Blue-Red
Red-Brown-2 Reds
Red-Brown-Yellow *
Red-Green-3 Reds
Red-Green-Red-Yellow
Red-Yellow-4 Reds
Red-Yellow-2 Reds-Yellow
Red-Yellow-Red-Green
Red-Yellow-Red-Yellow-Red
That’s 24 methods, each of which could start with one Red as a free ball – EXCEPT the one marked * – so that’s 47.
Then.......
Starting with colours: 4
Free-ball Yellow-real Yellow-Green
Green-Brown
Free-ball Green (where real Green is also potted)-Brown
Black
So the total is 51.
ROUND FORTY-FOUR
...anyone?
Starting with 7 Reds: 1
7 Reds
Starting with 5 Reds: 1
5 Reds-Yellow
Starting with 4 Reds: 2
4 Reds-Green
4 Reds-Yellow-Red
Starting with 3 Reds: 4
3 Reds-Brown
3 Reds-Green-Red
3 Reds-Yellow-2 Reds
3 Reds-Yellow-Yellow
Starting with 2 Reds: 6
2 Reds-Blue
2 Reds-Brown-Red
2 Reds-Green-2 Reds
2 Reds-Green-Yellow
2 Reds-Yellow-3 Reds
2 Reds-Yellow-Red-Yellow
Starting with Red: 10
Red-Pink
Red-Blue-Red
Red-Brown-2 Reds
Red-Brown-Yellow *
Red-Green-3 Reds
Red-Green-Red-Yellow
Red-Yellow-4 Reds
Red-Yellow-2 Reds-Yellow
Red-Yellow-Red-Green
Red-Yellow-Red-Yellow-Red
That’s 24 methods, each of which could start with one Red as a free ball – EXCEPT the one marked * – so that’s 47.
Then.......
Starting with colours: 4
Free-ball Yellow-real Yellow-Green
Green-Brown
Free-ball Green (where real Green is also potted)-Brown
Black
So the total is 51.
ROUND FORTY-FOUR
...anyone?
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