Question: 1. (a) Give one example of a set S and two binary operations 01, 02 such that (S.01) is a group but (S, 02)

1. (a) Give one example of a set S and two binary

1. (a) Give one example of a set S and two binary operations 01, 02 such that (S.01) is a group but (S, 02) is not a group. (b) Give one example of an abelian group of order 6. . (c) Give one example of a non-abelian group of order 6.

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