Composition/Double names/Permutation of names/Exercise
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Let be the set of all female compound first names (names of the form , where are simple first names and every combination is allowed). We consider the composition
which sends a pair of double first names to the double name .
- What is the value of under this composition?
- Is this composition commutative?
- Is this composition associative?
- Does this composition have a neutral element?
- Is this composition surjective?
- Is this composition injective?