Question

What is the order of each group:

(a).${\mathrm{\mathbb{Z}}}_{18}$.

Short answer

The order of ${\mathrm{\mathbb{Z}}}_{18}$ is .

Step-by-step solution

Order of a group

The order of a group $G$ is defined as the number of elements in the group.

Conclusion

As we know, ${\mathrm{\mathbb{Z}}}_{18}$contains the elements:

$0,1,2,3...........,16,17$.

So, the order of ${\mathrm{\mathbb{Z}}}_{18}=18$.