Pirate Coin Distribution - Quant Trader Interview Question
Difficulty: Hard
Category: Conditional Probability
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Topics: combinatorics, probability, stars-and-bars, mental-math
Problem Description
Three pirates, Anne, Bonnie, and Charlie, have plundered a chest containing 10 identical gold coins. They decide to divide the coins among themselves. How many different ways can they distribute the coins, assuming each pirate can receive any number of coins (including zero)?
Use $n = 10$ (number of coins) and $k = 3$ (number of pirates).
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