TOPICS
Search

Pascal's Triangle

Explore PascalsTriangle on MathWorld


Pascal's triangle is a triangular array of binomial coefficients that can visually illustrate several of their properties.

Pascal's triangle is a college-level concept that would be first encountered in a discrete mathematics course covering combinatorics.

Prerequisites

Binomial Coefficient: The binomial coefficient is a notation and function giving the number of ways of picking k unordered outcomes from n possibilities, also known as a combination or combinatorial number.
Factorial: The factorial of a positive integer n, denoted n!, is the product of the first n positive integers.
Probability: Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

Classroom Articles on Combinatorics

  • Binomial Theorem
  • Magic Square
  • Combinatorics
  • Permutation
  • Fibonacci Number
  • Recurrence Relation
  • Generating Function

  • Classroom Articles on Discrete Mathematics (Up to College Level)

  • Algorithm
  • Graph
  • Binary
  • Graph Cycle
  • Chromatic Number
  • Graph Theory
  • Complete Graph
  • Logic
  • Connected Graph
  • Planar Graph
  • Cycle Graph
  • Polyhedral Graph
  • Directed Graph
  • Tree
  • Discrete Mathematics