//And so we have

ArrayList<Map.Entry<String, Integer>> list = new ArrayList<Map.Entry<String, Integer>>(words);
// The entire class groaned while this line of code was being typed.
EntryComparator eC = new EntryComparator();
// We couldn't just have code going around comparing things, we'd better have an EntryComparator making sure that Entry comparison doesn't get out of control!
Collections.sort(list, eC);      

// God help us if "sorting" is allowed to work on it's own, maybe we should name it "execute."