QQuestionMathematics
QuestionMathematics
Are there more ways to shuffle a deck of cards than there are atoms on Earth?
7 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1: Understand the problem
We need to compare two very large numbers: the number of ways to shuffle a deck of cards and the number of atoms on Earth.
Step 2: Calculate the number of ways to shuffle a deck of cards
52! \approx 8.06 \times 10^{67}
A standard deck has 52 cards. The number of permutations (or unique arrangements) of these cards is given by the factorial function: For a deck of 52 cards, this is:
Final Answer
Yes, there are more ways to shuffle a deck of cards than there are atoms on Earth.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students