15. Permutations and combinations: Counting your choices

Chapters in this book

1. Frontmatter i
2. Contents v
3. Preface vii
4. Acknowledgments xv
5. 1. Algebra: The art and craft of computation 1
6. 2. Velocity: On the road 19
7. 3. Acceleration: After the apple falls 39
8. 4. Irrational: The golden mean and other roots 59
9. 5. Exponents: How much would you pay for the island of Manhattan? 79
10. 6. Logarithms I: Money grows on trees, but it takes time 97
11. 7. Logarithms II: Rescaling the world 107
12. 8. e: The queen of growth and decay 129
13. 9. Finite series: Summing up your mortgage, geometrically 149
14. 10. Infinite series: Fractals and the myth of forever 167
15. 11. Estimation: What is your first guess? 193
16. 12. Modular arithmetic I:Around the clock and the calendar 213
17. 13. Modular arithmetic II: How to keep (and break) secrets 237
18. 14. Probability: Dice, coins, cards, and winning streaks 261
19. 15. Permutations and combinations: Counting your choices 277
20. 16. Bayes' law: How to win a car... or a goat 297
21. 17. Statistics: Babe Ruth and Barry Bonds 325
22. 18. Regression: Chasing connections in big data 341
23. The bigger story 353
24. Solutions to odd-numbered exercises 357
25. Practice exams 423
26. Index 457