Algorithms/Combinatorics - Revision history

Admin: Replaced content with "Basic binomial coefficients: * AOCP/Binomial Coefficients More complicated choices: * LatticePaths * AOCP/Multinomial Coefficients * AOCP/Generating Functio..."

2017-07-22T10:22:26Z

Replaced content with "Basic binomial coefficients: * AOCP/Binomial Coefficients More complicated choices: * LatticePaths * AOCP/Multinomial Coefficients * AOCP/Generating Functio..."

2017-07-22T00:08:10Z

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 =Notes=
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 See [[AOCP/Multisets]]
 =Flags=

2017-07-20T04:20:31Z

2017-07-20T04:04:32Z

Multiset Permutations

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 </pre>
-'''Example:'''
+===Multiset Example===
 Suppose we have a string of characters a, b, c that has exactly:
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 <math>
 \binom{A}{A-k-m} \binom{B}{m} \binom{C}{k} \binom{B+k}{B-l} \binom{C-k}{l}
 </math>

2017-07-20T03:43:18Z

Multiset Permutations

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                      C c's
 </pre>
 =Flags=

2017-07-20T03:04:43Z

Multiset Permutations

2017-07-20T02:56:14Z

Multiset Permutations

@@ Line 187: / Line 187: @@
 a a a b b c d d d d
 c a b d d a b d a d
 <pre>
 =Flags=

2017-07-20T02:48:04Z

Multiset Permutations

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 \dfrac{(4+8+5+5+5) \cdot 120 \cdot 11111}{5 \cdot 6} = 48555 + 45885 + \dots
 </math>
 =Flags=

2017-07-20T02:39:36Z

Multiset Permutations

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 <math>
 \binom{n}{n_1, n_2, \dots} = \dfrac{n!}{n_1! n_2! \dots}
 </math>

2017-07-20T02:36:25Z

Knuth Goes To Outer Space