Comments on: Quick Insight: Intuitive Meaning of Division

By: Tianchi Liu

Tianchi Liu — Fri, 10 May 2019 09:21:00 +0000

Hi every one! One more thing bothers me. We have multiplication notation П. Why don't we represent Permutation(10, 5) by П(i=5, i=10)i ? Imagine it looks like a neat summation formula with Σ. It feels like we introduced another idea (factorial) to represent some idea where multiplication is suffice.

By: Ondřej Kubů

Ondřej Kubů — Mon, 05 Mar 2018 21:37:06 +0000

If you think about it, the division in the permutation is also a consolidation. At first, you take all n items and put them in the sequence. This can be done n! ways. But then you realize that you are interested in the first (or last) k items only, so you consolidate the reordering of the remaining n-k items. That is the division by (n-k)!.

By: Theophilus

Theophilus — Mon, 05 Mar 2018 17:23:29 +0000

Imagine if maths is taught like this - motivate from simple, known perspective to abstract generalization- the world will be richer than it is; because more things would have been discovered, invented by people who today are permanently excluded because of very dry, not-inspiring way maths is being taught. See the way Kalid presented maths thoughts, ideas and reasoning simply, immediately making sense and retaining their profundity. Thank you Kalid

By: Do Mar

Do Mar — Thu, 01 Mar 2018 19:13:19 +0000

It actually makes sense!