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Permutation Braid, Two Identical Pairs

Pull the slider to form the braid and list the permutations. Duplicate permutations are shown in light gray letters.
Thanks to Bill Mill's idea for this visualization of permutations (http://billmill.org/permvis.html). The computation is done using either the permutation formula (4!/(2!2!)) or the combination formula ((4C2)(2C2)).