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प्रश्न
Construct the composition table for +5 on set S = {0, 1, 2, 3, 4}.
उत्तर
1 \[+_5\] 1 = Remainder obtained by dividing 1 + 1 by 5
= 2
3 \[+_5\] 4 = Remainder obtained by dividing 3 + 4 by 5
= 2
4 \[+_5\] 4 = Remainder obtained by dividing 4 + 4 by 5
= 3
So, the composition table is as follows :
| +5 | 0 | 1 | 2 | 3 | 4 |
| 0 | 0 | 1 | 2 | 3 | 4 |
| 1 | 1 | 2 | 3 | 4 | 5 |
| 2 | 2 | 3 | 4 | 0 | 1 |
| 3 | 3 | 4 | 0 | 1 | 2 |
| 4 | 4 | 0 | 1 | 2 | 3 |
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