DM - Lattice & Group -Q19

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Let G be a group. Let g,h,x,y \in G be given. It is given that x*g=h, y*g=h.

\text{I. }x=y

\text{II. }x*x*x = y*y*y

\text{III. }{x*y*x = y*x*y }

(A).Only \text{I }

(B).Only \text{I }\text{I }

(C).Only \text{I } and \text{I }\text{I }\text{I }

(D).All of \text{I }, \text{I }\text{I } and \text{I }\text{I }\text{I }

asked 6 days ago in Discrete Maths by gbeditor (44,500 points)
reshown 3 days ago by gbeditor

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