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Table 3

Number of parts of the partitions estimated for settings (i) and (ii) in 100 simulations of size n each.

(i) Number of parts in 𝒮 = {a, b, c}4
(ii) Number of parts in 𝒲 = {a, b, c} × {a, b, c}
n 3 parts 4 parts 5 parts 6 parts n 3 parts 4 parts
5 × 104 0 58 40 2 5 × 104 99 1
106 6 84 10 0 106 100 0
5 × 106 26 72 2 0 5 × 106 100 0
107 32 66 2 0 107 100 0