WAS IT A CAT I SAW? - 2nd PUZZLE

The second puzzle is: how many different paths are there, that spell WAS IT A CAT I SAW, i.e., WASITACATISAW, in either direction?

W
WAW
WASAW
WASISAW
WASITISAW
WASITATISAW
WASITACATISAW
WASITATISAW
WASITISAW
WASISAW
WASAW
WAW
W

If one path can be obtained from the other by reversing its direction, in this puzzle they are the same path.
Mathematically speaking we are looking for the number of equivalence classes with respect to reversal of direction.

1st hint

solution

third puzzle

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