First Connect Three


Number on grid Number of lines it could be in
-5 3
-4 5
-3 4
-2 3
-1 3
0 5
1 8
2 7
3 3
4 3
5 7
6 8
7 6
8 3
9 3
10 4
11 5
12
3

Therefore, might want to aim for the 1 and the 6 as they're in the most lines.

Answer How No. ways
-5 (1-6) twice 2
-4 (1-5) twice, (2-6)twice 4
-3 (1-4) twice, (2-5) twice (3-6) twice 6
-2 (1-3) twice, (2-4) twice, (3-5) twice, (4-6) twice 8
-1 (1-2) twice, (2-3) twice, (3-4) twice, (4-5) twice, (5-6) twice 10
0 1-1, 2-2, 3-3, 4-4, 5-5, 6-6 all twice 12
1 (6-5) twice, (5-4) twice, (4-3) twice, (3-2) twice, (2-1) twice 10
2 (6-4) twice, (5-3) twice, (4-2) twice, (3-1) twice, 1+1 9
3 (6-3) twice, (5-2) twice, (4-1) twice, (1+2) twice 8
4 (6-2) twice, (5-1) twice, (1+3) twice, 2+2 7
5 (6-1) twice, (1+4) twice, (2+3) twice 6
6 (1+5) twice, (2+4) twice, 3+3 5
7 (1+6) twice, (2+5) twice, (3+4) twice 6
8 (2+6) twice, (3+5) twice, 4+4 5
9 (3+6) twice, (4+5) twice 4
10 (4+6) twice, 5+5 3
11 (5+6) twice 2
12 6+6 1

0 is the easiest number to get as there are more ways of getting it than any other.
12 is the hardest as there's only one way to make it.

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