On Sun, May 30, 2021, 5:52 PM Karl <[1]gmkarl@gmail.com> wrote: (popbinheight^sampbinheight) (popcount - popbinheight) ^ (sampcount - sampbinheight) (sampcount C sampbinheight) Is the combinations still looking ok, now that the system is describsd differently? The question is whether or not the expression counts all the possible different decision sets, without duplication, that result in exactly sampbinheight samples from popbinheight population portions. Goal: validate expression. Note: expression is useful on computer, not mailing list. Mailing list can build behaviors of posting hilarious attempts to think as fictional snippets. Remember to simulate to find more mistakes. References 1. mailto:gmkarl@gmail.com