PAs Pyramid

Hi, my name is PA and the class this Action Project is for is called Prove it or lose. Prove it or lose it is a class about proving math problems and having different strategies to solve problems. For this Action Project, we worked on Pascals Triangle and Combinations and we had to explain each of them. I gave an example and showed how to solve it as well. I think this project was alright. It taught me a couple things but if I could redo this I would talk about the triangle actually being a pyramid to me but I felt like this was rushed and I didn't have a lot of time. But I enjoyed doing this at the end because it was fun to draw the triangle. Here is my final project.

Combination: a collection of the objects where the order doesn't matter, a permutation is an arrangement of a group of objects where the order does matter.
nCr: n! / (r!) (n-r!)
Example of combination: 20C15! = 20! / 5! x 5! = 20! - 5! = 15! = 15! / 5! = 1307674368000 / 120 = 108972864000

PAs Triangle. 2018

This is my version of Pascal Triangle. I made it a pyramid because it doesn't matter all sides are going to have the same numbers. I picked those colors because of Halloween.
Pascal Triangle: is a triangular array of the binomial coefficients. In the Western world it is named after the French mathematician Blaise Pascal,  other people studied it a long time ago in India, Persia, China, Germany, and Italy.


A Unique pattern pascal's triangle is that there are ones all along the sides of the triangle and found that really interesting, but then I saw that there was also counting numbers on the inner triangle and thought that was a cool pattern. The last pattern I found in the third row of the triangle is that the numbers are triangular numbers and found that very interesting.

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