Factorials

Factorial Notations

Ph-USA Guru

Multiple Choice

Which region(s) represent students that enjoy swimming and tennis?

• B

• D

• B and D

• A and C

Multiple Choice

What is B U C ?

• { b, c, x }

• { a, w, b }

• { a, y, c }

• { w , x, y, z }

Multiple Choice

What are the elements in  A  $$\cap$$  B  $$\cap$$  C ?

• { a }

• { b }

• { c }

• { z }

Multiple Choice

What is the symbol for intersection?

• $$\cup$$

• $$\cap$$

• $$\subset$$

• $$\subseteq$$

Multiple Choice

Identify the shaded area...

• A

• B

• A'

• B'

Objectives

• Define Factorial Notations.

• Simplify Factorial Notations.

• Evaluate Operations on Factorial Notations.

• What is the use of Factorial Notation?

Multiple Choice

What is this symbol?

• Exclamation

• Question Mark

• Factorial Notation

• Exclamation Point

What is Factorial?

• Factorials (!) are products of every whole number from 1 to n.

• If n is a positive integer, n factorial is denoted by n! is a product of all positive integers less than or equal to n.

• It is defined by: n! = n(n - 1)(n - 2) . . . (2) (1)

• It’s a shorthand way of writing numbers. 

What is Factorial?

• As a SPECIAL CASE:

• 0! = 1

Fill in the Blank

Express in factorial form:  $$3\times2\times1$$  

Fill in the Blank

Express in factorial form:  $$8\times7\times6\times5\times4\times3\times2\times1$$  

Fill in the Blank

Express in factorial form: $$6\times5\times4\times3\times2\times1$$  

Multiple Choice

Expand 4!

• 4 + 3 + 2 + 1

• 4 ^. 3 ^. 2 ^. 1

• 4 + 5 + 6

• 4

Multiple Choice

6!

• 6
• 46656
• 720
• 21

Multiple Choice

4! - 0!

• 24

• 10

• 256

• 23

Multiple Choice

8!  ÷ 6!

• 2
• 1.3
• 56
• 720

Multiple Choice

Evaluate: 3! - 1!

• 5

• 6

• 2

• 4

Multiple Choice

Evaluate: (6 - 5)!

• 1

• 11

• 720

• 600

Multiple Choice

Simplify this

• 6

• 30

• 1/5

• 1/6

Multiple Choice

Evaluate: (24/6)!

• 24

• 720

• 12

• 6

Multiple Choice

$$2\times10!+11!=$$

• $$20!\times11!$$  

• $$\frac{15}{13}\times11!$$  

• $$\frac{13}{11}\times11!$$  

• $$\frac{13}{11}\times10!$$  

Multiple Choice

$$\frac{14}{8!-7!}=$$  

• $$14$$  

• $$\frac{2}{8!}$$  
  

• $$1$$  

• $$\frac{2}{7!}$$  

Multiple Choice

$$\frac{7!}{5!3!}$$  

• 7

• 6

• 5

• 4

Multiple Choice

Which is a factorial?

• 3!
• 3a
• 3?
• 3*

Multiple Choice

What was the question if the answer is 42?

• 7!

• 7! x 5!

Multiple Choice

What is 4! called?

• Fabulous Four

• Final Four

• Four Factorial

• Four Factored

Exercises

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