Mathematics · essential

Permutations of a multiset for JEE

Permutations and combinations

Formula

\[\frac{n!}{p_1!p_2!\cdots p_k!}\]

Variables: Among \(n\) total objects, identical objects occur in groups of sizes \(p_1,p_2,\dots,p_k\) with \(p_1+\cdots+p_k=n\).

Conditions: Objects within each group are identical.

Arrangements of words with repeated letters, repeated symbols in linear order.

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