Discrete Math › Section D · Counting › Topic D.5
Counting multisets (stars and bars)
Choose five pieces of fruit from three kinds, share identical stickers among children, or count whole-number solutions of an equation: all three ask for unordered selections where repeats are allowed, and one picture of stars and bars counts them all.
In this topic
- The missing case
- Multisets
- Stars and bars
- The general formula
- Worked example: sharing stickers
- Whole-number solutions of equations
- Worked example: rolling identical dice
- Non-decreasing sequences
- Common mistakes to avoid
- Key takeaways
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