Discrete Mathematics provides tools for counting, arranging, and analyzing finite sets:
- 📊 Permutations deal with ordering elements when sequence matters.
- 🔢 Combinations deal with selecting subsets where order doesn’t matter.
- ⚖️ Inclusion-Exclusion allows us to count with overlaps by alternating adds and subtracts.
- ⭐ Stars and Bars allow us to distribute indistinguishable items into bins.
- ☝️ Integer Equations help us solve equations over nonnegative integers.
- 📚 Binomial Coefficients allow us to choose combinations.
- 🐇 Fibonacci Numbers are a recursive sequence with combinatorial interpretations.