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Mathematics LibreTexts

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:
      • \(n!\)
      • \(\binom{n}{r}\)
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