Algebra Tutorials!
Friday 23rd of June
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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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Factorials

Introduction

In many engineering calculations you will come across the symbol ! which you may not have met before in mathematics classes. This is known as a factorial. The factorial is a symbol which is used when we wish to multiply consecutive whole numbers together, as you will see below.

1. Factorials

The number 5Ã—4Ã—3Ã—2Ã—1 is written as 5!, which is read as "five factorial". If you actually perform the multiplication you will find that 5! = 120. Similarly 7! = 7Ã—6Ã—5Ã—4Ã—3Ã—2Ã—1 which equals 5040. A rather special case is 0!. This is defined to equal 1 and this might seem somewhat strange. Just learn this!

You will not be required to find factorials of negative numbers or fractions. Factorials are used in combination notation which arises frequently in probability theory. The notation stands for . For example

Exercises

1. Without using a calculator evaluate 2!, 3! and 4!.

2. Show that equals 20.

3. Explain why n! = nÃ—(n - 1)! for any positive whole number n.

4. Explain why for any positive whole number n

5. Evaluate