Subject: Mathematics
Book: Maths Mastery
Permutations count distinct ways to arrange a set of objects where order matters. The formula for the number of permutations of n distinct items taken k at a time is P(n, k) = n! / (n–k)!. For example, the number of ways to arrange 3 items out of 5 is P(5, 3) = 5! / 2! = 60. Permutations arise in tasks like planning seat arrangements, ordering steps in processes, or counting possible password permutations. This concept is key to combinatorial analysis, bridging real-life scenarios where item order is crucial—such as scheduling or competition ranks.
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