Tag: Permutations and Combinations

  • In the last three posts, we have been dealing with some issues related to counting. In Learning to Count, I introduced us to the area of combinatorics and specifically combinatorial arguments. In the second post, Abjuring Double Counting, we looked at the inclusion-exclusion principle that is used to ensure that every element is counted exactly…

  • Recapitulation on Counting In the previous two posts, I introduced ideas related to counting. In Learning to Count we introduced the idea of combinatorial arguments, which allowed us to gain some insight on the process of selection. In Abjuring Double Counting we saw the recursive process used to ensure that, when we count members of…

  • Recapitulation In the previous post, we had looked at the basic principles of making combinatorial arguments. We saw that these arguments, while deficient in that they do not yield any numerical values, give us insights about how we can count ways of doing a task. In the conclusion of that post, I introduced the idea…

  • Background I have been teaching high school students for a while now. While I have taught physics and theory of knowledge, my main focus has been mathematics. One of the more fascinating areas of the high school mathematics syllabus is probability and statistics. Now don’t get me wrong. I know that, in an earlier post,…