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Mathematics LibreTexts

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:
      • \((\binom{n}{r})\)
      • \(\binom{n}{r_1,r_2,...,r_m}\)

    This page titled 5.3: Summary is shared under a CC BY-NC-SA license and was authored, remixed, and/or curated by Joy Morris.

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