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Question 3: Prove Each of the Fallowing Rule 1: Disjoint transpositions commute. That is, for a,b,c,d distinct, (cd)(ab) = (ab)(cd). Rule 2: For a,b,c distinct,

Question 3:

Prove Each of the Fallowing

Rule 1: Disjoint transpositions commute. That is, for a,b,c,d distinct, (cd)(ab) = (ab)(cd).

Rule 2: For a,b,c distinct, (cb)(ab) = (ac)(cb).

Rule 3: For a,b,c distinct, (ab)(ac) = (ac)(cb).

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