A selectorized dumbbell has a handle that can be inserted into a gap between stacks of nested left and right weight plates that are provided in a plurality of nested weights. A selector determines how many left weight plates are coupled to the left end of the handle and how many right weight plates are coupled to the right end of the handle. A single left weight plate and a single right weight plate are interconnected together by an interconnection member of some type to form a single weight. The interconnection members of the different weights overlie one another and are provided with two arrays of a plurality of unique sets of holes and slots. A first connecting pin is inserted through the handle and through a selected set of holes and slots in the first array. A second connecting pin is inserted through the handle and through a selected set of holes and slots in the second array. The two pins together symmetrically couple the desired number of weights to the handle in a balanced fashion.