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MMVFWXQ => 6.24704795748769e-11
__BPMKQ => 6.24704795748769e-11
...
EEAIONU => 3.56231662727778e-05
EEAIONL => 3.56231662727778e-05
Combinations: 8275164, Count: 16007560800.

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my @tiles = (('_') x 2,  # 2 blank tiles (scoring 0 points)
             # 1 point
             ('E') x 12,
...
             qw(J X),
             # 10 points
             qw(Q Z));