Which of the following statements about Hierarchical Clustering is$/$are correct?

It gives more flexibility in deciding the number of clusters with the help of tree$-$like structures called Dendrograms.

Hierarchical Clustering can be categorized into two main types: Agglomerative Clustering, which works in a bottom$-$up manner, and Divisive Clustering, which works in a top$-$down manner.

It is preferable to use Hierarchical clustering over k$-$means clustering when there are a lot of data points as the computational time required in Hierarchical clustering will be much lower.