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in Sets, Relations and Functions by (9.2k points)

Construct the composition table for x6 on set S = {0, 1, 2, 3, 4, 5}.

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A composition table consists of elements which are a result of operation on the set elements.

Here we have the operation, a x6 b = remainder of ab divided by 6 where a, b ∈ S.

This is the composition table of x4 on S = {0, 1, 2, 3, 4, 5}

For example, take 3 x6 2 = remainder of (3 x 2) divided by 6

Remainder of \(\frac{6}{6} = 0\)

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