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linear_combinatori_probabi

Learning: http://theanalysisofdata.com/

MikTex+Texmaker: https://leavedcorn.pixnet.net/blog/post/24773932-%E6%96%B0%E6%89%8B%E5%AE%89%E8%A3%9Dlatex%E6%87%B6%E4%BA%BA%E6%95%99%E5%AD%B8(step-by-step)

I'm happy to solve combinatorics problem.

Sleepy Tiger


Combinatorically Happy List:

  • $\textrm{Exact}(k)=\sum\limits_{j=k}^m(-1)^{j-k}\color{blue}{\binom{j}{k}}S_j.\quad$ // We call it TENET.
  • $\textrm{Exact}(k)=\sum\limits^{\large\color{blue}{\binom{m}{k}}}_{I\in S_k}E_{=0}.\quad$ // A winning start.
  • $\textrm{AtLeast}(k)=\sum\limits_{j=k}^m(-1)^{j-k}\color{blue}{\binom{j-1}{j-k}}S_j.\quad$ // Pascal's dream.
  • $\textrm{Let }m>k: \sum\limits_{l=0}^{k}\sum\limits_{j=l}^m=\sum\limits_{j=0}^m\sum\limits_{l=0}^{\min(j,k)}$ // Summation nightmare.
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