George Said:

Is there a systematic way to do this problem?

We Answered:

there is a very simple way, but tough to explain w/o a diag.
ok, i'll try by labelling

Dx Dx Dx D5 D14
Cx Cx C2 C5 D9
Bx B1 B2 B3 B4
A0 A1 A1 A1 A1

movement along x-axis indicates A wins
movement along y-axis indicates B wins
x's indicate positions that aren't permissible
#s indicate the # of ways to reach any permissible spot

ans: 14
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