University Mathematics Handbook (2015)

XV. Combinatorics and Newton's Binomial

Chapter 4. Newton's Binomial

a. Newton's Binomial formula:

are called binomial coefficients.

b. The term in the position is .

c.

d.

e.

f. Pascal Triangle, binomial coefficients arrangement:

A Pascal triangle is a triangular arrangement of numbers, the apex being , and the numbers on the sides are all . Every number of the triangle is a sum of two numbers above it.