REAL LIFE with Pascal’s Triangle One real life situation that Pascal’s Triangle is used for is Probability, and combinations. Pascal's Triangle, named after French mathematician Blaise Pascal, is used in various algebraic processes, such as finding tetrahedral and triangular numbers, powers of two, exponents of 11, squares, Fibonacci sequences, combinations and polynomials. Pascal's Triangle or Khayyam Triangle or Yang Hui's Triangle or Tartaglia's Triangle and its hidden number sequence and secrets. some secrets are yet unknown and are about to find. We have situations like this all of the time. The disadvantage in using Pascal’s triangle is that we must compute all the preceding rows of the triangle … For instance, when we have a group of a certain size, let's say 10, and we're looking to pick some number, say 4, we can use Pascal's Triangle to find the number of ways we can pick unique groups of 4 (in this case it's 210). And one way to think about it is, it's a triangle where if you start it up here, at each level you're really counting the different ways that you can get to the different nodes. Practical Uses for Pascal's Triangle Date: 2/27/96 at 20:14:58 From: Andrew Cotton Subject: Help with Pascal's Triangle Hi, I teach 7th grade math. So Pascal's triangle-- so we'll start with a one at the top. It was named after French mathematician Blaise Pascal. In this post, we explore seven of these properties. there are alot of information available to this topic. We use the 5th row of Pascal’s triangle: 1 4 6 4 1 Then we have. The triangle was actually invented by the Indians and Chinese 350 years before Pascal's time. The coefficients will correspond with line of the triangle. For example, say you are at an ice cream shop and they have 5 different ice creams. Pascal's triangle. All I have been able to find has been related to probability. Pascal's triangle is an array of numbers that represents a number pattern. How many different combinations can I make if I take out 2 marbles• The answer can be found in the 2nd place of row 5, which is 10. Expand Using Pascal's Triangle (x+3)^4. Pascal's Triangle can be displayed as such: The triangle can be used to calculate the coefficients of the expansion of by taking the exponent and adding . One use of Pascal's Triangle is in its use with combinatoric questions, and in particular combinations. Binomial Expansion Using Factorial Notation. There are many interesting things about the Pascal’s triangle. So one-- and so I'm going to set up a triangle. Pascal’s Triangle is a triangular array of numbers where each number on the “interior” of the triangle is the sum of the two numbers directly above it. Some of my students are trying to find "practical uses" for Pascal's triangle. 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