Factorial Notation Study Guide

Definition

Factorial notation is the product of all positive integers from 1 to a given number.

Notation

The factorial of a number n is denoted by the symbol "n!"

Example

If we have 5!, it means 5 × 4 × 3 × 2 × 1 = 120.

Calculation

To calculate the factorial of a number, simply multiply all the positive integers from 1 up to that number.

Properties

0! = 1
1! = 1
n! = n × (n-1)!

Applications

Factorial notation is commonly used in combinatorics, probability, and to solve problems involving permutations and combinations.

Practice Problems

1. Calculate the value of 4!
2. Find the value of 6! - 5!

By understanding the properties and applications of factorial notation, you can solve a variety of mathematical problems involving permutations, combinations, and probability.Now, let's solve the practice problems:

Calculate the value of 4!
4! = 4 × 3 × 2 × 1 = 24
Find the value of 6! - 5!
6! - 5! = (6 × 5 × 4 × 3 × 2 × 1) - (5 × 4 × 3 × 2 × 1) = 720 - 120 = 600

◂Math Worksheets and Study Guides Fifth Grade. Common Factors

Greatest Common Factor of numbers not greater than 24

Vocabulary/Answer key

Common Factors

The resources above cover the following skills:

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.