Factorials

A factorial is a mathematical operation represented by an exclamation mark (!) and is used to calculate the product of all positive integers up to a given number.

Calculating Factorials

To calculate the factorial of a number n, denoted as n!, you multiply all positive integers from 1 to n.

For example:

3! = 3 x 2 x 1 = 6

5! = 5 x 4 x 3 x 2 x 1 = 120

Study Guide

1. Understanding the Concept: Factorials are used to calculate the number of ways to arrange a set of items, permutations, and in various mathematical and statistical calculations.
2. Calculating Factorials: Practice calculating factorials for different numbers to become familiar with the concept.
3. Applications: Explore real-world applications of factorials, such as in probability, combinations, and permutations.
4. Factorial Notation: Understanding how factorials are represented and used in mathematical equations and expressions.
5. Factorial Properties: Learn about properties of factorials, such as the fact that 0! = 1 and the relationship between factorials and combinations.

By understanding factorials and practicing their calculations, you'll gain a solid foundation in this important concept in mathematics.