5.3: Summary
- Page ID
- 60212
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- The number of ways of choosing \(r\) objects from \(n\) types of objects (with replacement or repetition allowed) is \((\binom{n}{r}) = \binom{n+r−1}{r}\).
- The number of ways of arranging \(n\) objects where \(r_i\) of them are of type \(i\) (indistinguishable), is \(\binom{n}{r_1,r_2,...,r_m}\).
- Notation:
- \((\binom{n}{r})\)
- \(\binom{n}{r_1,r_2,...,r_m}\)