Compute permutations with repeated letters

Q: Compute permutations with repeated letters

This question evaluates combinatorics and counting principles within the Statistics & Math domain, focusing on permutations with repeated characters and the generalization to multiple symbol counts.

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Question

Counting Strings with Repeated Characters

Problem

Given two nonnegative integers m and n, how many distinct strings can be formed that contain exactly m copies of the character 'a' and n copies of the character 'b'? Provide the closed-form count and a short justification.

Then generalize your answer to an alphabet with k distinct characters occurring with counts c1, c2, ..., ck (with c1 + c2 + ... + ck = N), and give the corresponding formula.

Compute permutations with repeated letters

Counting Strings with Repeated Characters

Problem

Solution

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Compute permutations with repeated letters

Overview

Counting Strings with Repeated Characters

Problem

Solution

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