👉 In the context of mathematics, "gladnesses" are a generalization that refers to the number of ways in which a given set can be partitioned into subsets where each subset has no more than one element in common with any other. For example, if you have a set A consisting of 10 elements and you want to partition it into two sets such that they do not contain any common element, you could consider the number of ways to arrange these two sub-sets as follows
