3.4: Summary
- Page ID
- 60203
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- The number of \(r\)-permutations of \(n\) objects is \(\dfrac{n!}{(n − r)!}\).
- The number of \(r\)-combinations of \(n\) objects is \(\binom{n}{r} = \dfrac{n!}{r!(n−r)!}\).
- The Binomial Theorem
- Important definitions:
- permutation, \(r\)-permutation
- \(n\) factorial
- \(r\)-combination
- \(n\) choose \(r\)
- binomial coefficients
- Notation:
- \(n!\)
- \(\binom{n}{r}\)