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Question -

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



Answer -

1 +1= remainder obtained by dividing 1 + 1 by 5

= 2

3 +1= remainder obtained by dividing 3 + 1 by 5

= 2

4 +1= remainder obtained by dividing 4 + 1 by 5

= 3

So, the compositiontable is as follows:

+5

0

1

2

3

4

0

0

1

2

3

4

1

1

2

3

4

0

2

2

3

4

0

1

3

3

4

0

1

2

4

4

0

1

2

3

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