Partitioning refers to the act of dividing a set into distinct subsets or parts, where each element belongs to exactly one subset. In combinatorics, this concept is crucial for counting the different ways to distribute objects into groups or categories, and it often leads to important number sequences and identities. Partitioning is closely tied to the study of Stirling numbers of the second kind, which count the ways to partition a set of 'n' objects into 'k' non-empty subsets.
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