Tally ^** ZZ -- Cartesian power of sets and tallies

i1 : A = set {1,2}

o1 = set {1, 2}

o1 : Set

i2 : A^**3

o2 = set {(1, 1, 1), (1, 2, 1), (1, 1, 2), (2, 1, 1), (2, 2, 1), (1, 2, 2),
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     (2, 1, 2), (2, 2, 2)}

o2 : Set

i3 : A = tally {1,1,2}

o3 = Tally{1 => 2}
           2 => 1

o3 : Tally

i4 : A^**3

o4 = Tally{(1, 1, 1) => 8}
           (1, 1, 2) => 4
           (1, 2, 1) => 4
           (1, 2, 2) => 2
           (2, 1, 1) => 4
           (2, 1, 2) => 2
           (2, 2, 1) => 2
           (2, 2, 2) => 1

o4 : Tally