Binomial Coefficients (10.5.2)

Question 1

• A factorial (!) of a natural number n is the product of all of the natural numbers that are less than or equal to n

Answer 1

• A factorial (!) of a natural number n is the product of all of the natural numbers that are less than or equal to n

Question 2

• The Binomial Theorem can be used to expand a power of a binomial. The coefficient of each term in the expansion can be found by using Pascal’s Triangle or by using the binomial coefficient formula, (n m) = n!/m!(n-m)!.

Answer 2

• The Binomial Theorem can be used to expand a power of a binomial. The coefficient of each term in the expansion can be found by using Pascal’s Triangle or by using the binomial coefficient formula, (n m) = n!/m!(n-m)!.