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Unique Paths on a 3 x 7 grid (right and down only)
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0 1 2 3 4 5 6
row 0 1 1 1 1 1 1 1
row 1 1 2 3 4 5 6 7
row 2 1 3 6 10 15 21 28
answer = bottom-right cell = 28
10 x 10 grid: table = 48620, one row = 48620, binomial C(18,9) = 48620