3. Suppose that for a particular data set, we perform hierarchical clustering using single and complete linkages. We obtain two dendrograms. (a) At a certain point on the single linkage dendrogram, the clusters {1,2,3} and {4, 5} fuse. On the complete linkage dendrogram, the clusters {1,2,3} and {4, 5} also fuse at a certain point. Which fusion will occur higher on the tree, or will they fuse at the same height, or is there not enough information to tell? (b) At a certain point on the single linkage dendrogram, the clusters {5} and {6} fuse. On the complete linkage dendrogram, the clusters {5} and {6} also fuse at a certain point. Which fusion will occur higher on the tree, or will they fuse at the same height, or is there not enough information to tell?

3. Suppose that for a particular data set, we perform hierarchical clustering using single and complete linkages. We obtain two dendrograms. (a) At a certain point on the single linkage dendrogram, the clusters {1,2,3} and {4, 5} fuse. On the complete linkage dendrogram, the clusters {1,2,3} and {4, 5} also fuse at a certain point. Which fusion will occur higher on the tree, or will they fuse at the same height, or is there not enough information to tell? (b) At a certain point on the single linkage dendrogram, the clusters {5} and {6} fuse. On the complete linkage dendrogram, the clusters {5} and {6} also fuse at a certain point. Which fusion will occur higher on the tree, or will they fuse at the same height, or is there not enough information to tell?