Number of distinct permutations:

Fri, 01 May 2026 03:56:36 +0000

# Number of Distinct Permutations: A Complete Guide When working with permutations, one fundamental question arises: how many distinct ways can a set of items be arranged? Understanding the number of distinct permutations is essential in mathematics, computer science, statistics, and real-world applications like cryptography and combinatorics. This article explores the concept of distinct permutations, how to calculate them, and real-world implications. ## What Are Distinct Permutations? A permutation refers to an arrangement of all or part of a set of items where the order matters. A distinct permutation considers unique sequences when repeating elements are present. For example, the string “AAB” has fewer distinct permutations than “ABC” due to the repetition of the letter ‘A’.