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Let H be the set of all permutations α ∈ S5 satisfying α(2) = 2. Which of the properties we have discussed (closure, associativity, identity, inverses) does H enjoy under composition of functions?

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Let H be the set of all permutations α ∈ S5 satisfying α(2) = 2. Which of the properties we have discussed (closure, associativity, identity, inverses) does H enjoy under composition of functions?

 
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