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suppose n greater than or equal to 2. Prove that Sn is generated by each of...

suppose n greater than or equal to 2. Prove that Sn is generated by each of the following sets

a) T1= { (1,2) , (1,2,3, .. , n)}

b) T1= { (1,2,3,... , n-1), (n-1,n)}

c) T1= { (1,2), (2,3),(3,4), ... , (n-1,n)}

c) T1= { (1,n), (2,n),(3,n), ... , (n-1,n)}

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