partitionArticle Free Pass partition, in mathematics and logic,
division of a set of objects into a family of subsets that are
mutually exclusive and jointly exhaustive; that is, no element
of the original set is present in more than one of the subsets,
and all the subsets together contain all the members of the
original set. A related concept, central to the mathematical
topics of combinatorics and number theory, is the partition of a
positive integer—that is, the number of ways that an integer n
can be expressed as the sum of k smaller integers. For example,
the number of ways of representing the number 7 as the sum of 3
smaller whole numbers (n = 7, k = 3) is 4 (5 + 1 + 1, 4 + 2 + 1,
3 + 3 + 1, and 3 + 2 + 2). What made you want to look up
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