A general overview of the ā€œ12 phases of mappingā€! ~ A treasure trove of learning about counting problems - Qiita

  • enumeration problem

  • Given integers n and k greater than or equal to 0, how many ways are there to put n balls into k boxes?

    • There are 12 ways.
      • Whether n balls are distinguished from each other
      • Whether k boxes are distinguished from each other
      • The number of balls in each box can be ā€œno more than one,ā€ ā€œno limit,ā€ or ā€œmore than one.ā€

Difficult when not distinguishing between boxes. - Type II Sterling Number - number of bells - number of divisions


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