Stochastics

Combinatorial Analysis

The amounts of possibilities to select k out of n elements are calculated, setting value on sequence or not (i.e. arrangement or combination), and permitting repetitions or not.

Example:

n = 49
k = 6

Arrangements without repetit. = 10 068 347 520
Arrangements with repetitions = 13 841 287 201
Combinations without repetit. = 13 983 816
Combinations with repetitions = 25 827 165

Permutations of k :        k! = 720

Formulas:

  Arrangements Combinations

With repetitions    

Without repetitions
  
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