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    <p>To get the output shown in your question, though not in the same order, this is what I would do.<br> I will be using <em>Mathematica</em> code, but the concepts are universal.</p> <pre><code>string = "Mary had a little lamb"; set = StringSplit[string] n = Length@set </code></pre> <blockquote> <pre><code>{"Mary", "had", "a", "little", "lamb"} 5 </code></pre> </blockquote> <p>So you will need a function that breaks the sentence into words (StringSplit).</p> <p>Then you will need a function to generate <a href="http://en.wikipedia.org/wiki/Integer_partitions" rel="nofollow">integer partitions</a> and a permutation function that is aware of duplicate elements. Algorithms for both can be found here on StackOverflow.</p> <pre><code>IntegerPartitions[n] </code></pre> <blockquote> <pre><code>{{5}, {4, 1}, {3, 2}, {3, 1, 1}, {2, 2, 1}, {2, 1, 1, 1}, {1, 1, 1, 1, 1}} </code></pre> </blockquote> <p>Once we permute each partition ("for each" is <code>/@</code>) we get all ways to linearly split a set of five parts:</p> <pre><code>parts = Join @@ Permutations /@ IntegerPartitions[n] </code></pre> <blockquote> <pre><code>{{5}, {4, 1}, {1, 4}, {3, 2}, {2, 3}, {3, 1, 1}, {1, 3, 1}, {1, 1, 3}, {2, 2, 1}, {2, 1, 2}, {1, 2, 2}, {2, 1, 1, 1}, {1, 2, 1, 1}, {1, 1, 2, 1}, {1, 1, 1, 2}, {1, 1, 1, 1, 1}} </code></pre> </blockquote> <p>Finally we need a function to split a set according to a sequences of lengths. I call mine dynamicPartition:</p> <pre><code>dynamicPartition[set, #] &amp; /@ parts // Column </code></pre> <blockquote> <pre><code>{{Mary,had,a,little,lamb}} {{Mary,had,a,little},{lamb}} {{Mary},{had,a,little,lamb}} {{Mary,had,a},{little,lamb}} {{Mary,had},{a,little,lamb}} {{Mary,had,a},{little},{lamb}} {{Mary},{had,a,little},{lamb}} {{Mary},{had},{a,little,lamb}} {{Mary,had},{a,little},{lamb}} {{Mary,had},{a},{little,lamb}} {{Mary},{had,a},{little,lamb}} {{Mary,had},{a},{little},{lamb}} {{Mary},{had,a},{little},{lamb}} {{Mary},{had},{a,little},{lamb}} {{Mary},{had},{a},{little,lamb}} {{Mary},{had},{a},{little},{lamb}} </code></pre> </blockquote>
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