Combinatorial Analysis
Calculates the number of possibilities to select k out of n elements, if order matters 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:
Disorderd (Combinations) |
Ordered (Variations) |
Ordered and k=n (Permutations) |
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Without repetitions |
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With repetitions |