Problem #105 MEDIUM
The Number e Hiding in a Card Deck
Paradox Combinatorics Math
Problem Statement
A standard deck of 52 cards is shuffled randomly. What is the probability that not a single card ends up in its original position — every card is displaced? Now suppose you shuffle n cards instead of 52. As n grows large, the probability approaches a famous constant. What is that constant, and why does a geometry-free problem produce a result involving e?
Answer & Quick Explanation
Logged-in Users Only
You must be logged in to view the answer and check your solution. Signing up is free and takes less than a minute.
Detailed Editorial Solution
Detailed Editorial Solution is Premium
Unlock detailed step-by-step mathematical proofs, logic explanations, and company-specific interview preparation pathways.