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Intro — Math with Python: Pascal’s Triangle

  • 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.

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