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Talk:Subset Counting
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In this article the claim is made that: "When it is equal to the number of selected cells, you've overlooked something. There is only one way to complete these cells. " This can be disproved with many examples and, in fact, there are sometimes useful eliminations to be found from such a configuration. A simple counter example can be found in the following Sue de Coq (please excuse my notation if it's not in the accepted format for discussion at this site): if we have the following as possibilities: (15)r4c3,(135)r4c5,(45)r4c6,(34)r5c4 the count is 4 but there are 3 ways to complete these cells, not one as the article claims. Also, this particular example eliminates all 3's and 4's in r4c4r5c56r6c456 and all 1's and 5's in r4c124789 which I think could be viewed as an application of the subset counting technique. I'm looking forward to hearing feedback on my thoughts, thank you for reading this.
