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View S3 as a subset of S5 in the obvious way. For ?, ? ? S5,...

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Advance Math

View S3 as a subset of S5 in the obviousway. For ?, ? ? S5, define ? ? ? if ?? -1 ?S3.

(a) Prove that ? is an equivalence relation on S5.

(b) Find the equivalence class of (4, 5).

(c) Find the equivalence class of (1, 2, 3, 4, 5).

(d) Determine the total number of equivalence classes

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