{123, 132, 213, 231, 312, 321}
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yes form cayleys theorem . every group is isomorphic to groups of permutation and finite groups are not an exception.
If there is a group of 3 coloured balls, then any groups of 2 balls selected from it will be considered as a combination, whereas the different arrangements of every combination will be considered as a permutation
A permutation is an ordered arrangement of a set of objects.
The answer depends on whether xy are commutative numbers or operators in a permutation group.
By definition, a permutation is a bijection from a set to itself. Since a permutation is bijective, it is one-to-one.