How does NbClust work?

General
1

I know that the function determines the optimal number of clusters of dataset that i want to analyze.
And one day I used it, and it showed that only the minimum clusters are the best. I mean for example

nc = NbClust(df, min.nc=2, max.nc=4, method='kmeans') > cluster = 2
nc = NbClust(df, min.nc=2, max.nc=100, method='kmeans') > cluster = 2
nc = NbClust(df, min.nc=30, max.nc=100, method='kmeans') > cluster = 30

So, what i am wondering are

  1. which does basically determine the optimal number of cluster when I use NbClust?
  2. why such that things happen(coz I thought the number of optimal clusters would vary whenever I set the condition different)?
2

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