The Pascal Triangle

I'm currently attending a seminar in Mathematics sponsored by MTG Philippines in cooperation with Chiu Chang Mathematics Foundation, DOST-SEI and Phoenix Publishing House and is participated by colleagues in the academe from Indonesia, Thailand,Malaysia and Philippines. We had a speaker early this morning and we were discussing about Combinatorics, an area of Mathematics that is closely related to Probability and Statistic, and I was surprised when he discussed to us the beauty of the Pascal's Triangle. At first, I just thought that the triangle was only used in Algebra to make expansion of polynomials easily, but lo! There he was, discussing about the number of ways to arrange blah blah... in short, problems on permutation and combination and he used the Pascal triangle. It was an easy job as long as you understand the concept. Not only that, he even introduce different easier ways to solve problems on Conbinatorics. Dr. Andy Liu, a college professor from Canada, was our speaker. A brilliant mind and full of wisdom man. Not only that, Febonacci numbers, Pythagorean theorem, the squares and a lot more can be found on the said triangle. Though I have had an idea about it, but the practice on how to use the said triangle was never realized except today.... I just hope I won't forget everything when I go back.

The best thing I could do is read my notes and put it into practice. Wish I could use these stuffs on my research. hahaha... well, lesson learned: There's more to what I thought was just a triangle!

tomorrow, we will ba talking more about problem solving... more on division algorithm and proving by counter example.... hehehe