How many elements of order 2 are there in S5 and in S6? How many elements...

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How many elements of order 2 are there in S5 and in S6? How manyelements of order 2 are there in Sn? (abstract algebra)

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Elements of order 2 in S5 could consist of 1twocycles or the product of 2 twocycles There are5C2 10 ways to create a 2cycle Then thereare 3C2 3 ways to create    See Answer
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