In Exercises 81–85, use a calculator's factorial key to evaluate each expression. 20!/300

Key Concepts

Factorial

The factorial of a non-negative integer n, denoted as n!, is the product of all positive integers from 1 to n. For example, 5! = 5 × 4 × 3 × 2 × 1 = 120. Factorials grow very quickly with increasing n, making them useful in permutations, combinations, and other areas of mathematics.

Calculator Functions

Most scientific calculators have a factorial function that allows users to compute factorials easily. This function typically requires the user to input the integer value and then press the factorial key, which is often represented by an exclamation mark (!). Understanding how to use this function is essential for efficiently solving problems involving large factorials.

Division of Factorials

When dividing factorials, such as 20!/300, it is important to simplify the expression where possible. Since 20! is a very large number, direct computation may not be feasible without a calculator. Understanding how to manipulate factorials and perform division helps in evaluating such expressions accurately.