CSci 271 Lecture Notes

Week Eight, Monday: Permutations and Combinations

Permutations

A permutation is an ordered arrangement: the r-permutations of a set differ only in the order of their elements.

Combinations

An r-combination is simply a subset with r elements.

Binomial Coefficients

The binomial coefficients can be arranged in a triangle (called Pascal's Triangle). This triangle illustrates Pascal's identity and makes it easy to find the coefficients of a binomial expansion.

The Binomial Theorem

The binomial theorem gives a formula for finding the binomial coefficients.


This page established October 25, 1998; last updated October 25, 1998.