Graph indexing category – 5.2.1.26

In section 5.2.1.21 author talks about graph-indexing category(GrIn) and symmetric graph-indexing category(SGrIn).

Ex. 5.2.1.26 asks

How many functors are there of the form GrInSGrIn?

I did not understand the answer and explanation given in the textbook. Can anyone please explain ?

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