File:Set partitions 5; circles.svg

Summary
The <a href="https://en.wikipedia.org/wiki/Bell_number" class="extiw" title="w:Bell number">52</a> <a href="https://en.wikipedia.org/wiki/Partition_of_a_set" class="extiw" title="w:Partition of a set">partitions</a> of a 5-element set
The number of distinct patterns (rows in this arrangement) is <a href="https://en.wikipedia.org/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="Sloane's"><img alt="Sloane's" src="https://upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/11px-OEISicon_light.svg.png" width="11" height="15" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/17px-OEISicon_light.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/22px-OEISicon_light.svg.png 2x" data-file-width="409" data-file-height="556"></a> <a href="//oeis.org/A084708" class="extiw" title="oeis:A084708">A084708</a>(5) = 12.
Licensing
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File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 07:28, 13 January 2017 | ![]() | 272 × 655 (223 KB) | 127.0.0.1 (talk) | <p>The <a href="https://en.wikipedia.org/wiki/Bell_number" class="extiw" title="w:Bell number">52</a> <a href="https://en.wikipedia.org/wiki/Partition_of_a_set" class="extiw" title="w:Partition of a set">partitions</a> of a 5-element set </p> <p>The number of distinct patterns (rows in this arrangement) is <span style="white-space:nowrap"><a href="https://en.wikipedia.org/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="Sloane's"><img alt="Sloane's" src="https://upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/11px-OEISicon_light.svg.png" width="11" height="15" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/17px-OEISicon_light.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/22px-OEISicon_light.svg.png 2x" data-file-width="409" data-file-height="556"></a> <a href="//oeis.org/A084708" class="extiw" title="oeis:A084708">A084708</a></span>(5) = 12. </p> |
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