Answer
The genus of the given object is \[4\].
Work Step by Step
In topology, the objects are classified by the genus of the object, which is the number of holes in the object. It can also be said that the number of cuts that can be made in that object without rendering that object into two pieces is known as its genus.
In the given figure of a button, we can see that four cuts are made in it without cutting it into two pieces. So, the genus of the given object is four.
Hence, the genus of the given object is\[4\].
