Pascal’s Triangle is a mathematical arrangement of numbers that displays the coefficients of binomial expansions in a triangular format.
The triangle is constructed as follows:
Conventionally, row counts start at 0.
In this article, we will explore the following key properties of Pascal’s Triangle
The formal way to describe the relationship between Pascal’s numbers is through Pascal’s Rule (also known as Pascal’s Identity).
Combination Theory focuses on the selection of items from a set where the order of selection does not matter.
Path counting problems involve determining the number of distinct routes between specified points in a grid using combinatorial methods.
Pascal’s triangle is linked to probability theory because it helps determine the number of occurrences of different outcomes, which can then be used to calculate their probabilities as percentages.
Pascal’s Triangle is related to the Fibonacci Sequence in an interesting way.
There are still many other fascinating properties of Pascal’s Triangle.