Factorial and binomial topics

Sure! Let's break down the concepts of factorials and binomials. ### Factorial The factorial of a non-negative integer \( n \), denoted as \( n! \), is the product of all positive integers from 1 to \( n \). In other words, \[ n! = n \times (n - 1) \times (n - 2) \times \ldots \times 1 \] For example: - \( 5!