The document focuses on factorial notation, defining 'n factorial' as the product of all positive integers up to n, denoted by n!. It includes examples of evaluating factorial expressions and determining the truth of specific equations involving factorials. Key calculations and exercises are provided to practice understanding factorial notation.

1. Lesson 1: Factorial Notation
Elmira A. Agcon
Mathematics 10 – Third Quarter

2. Objectives:
define factorial notation;
and
evaluate factorial notations.

3. ! Factorial
Notation

4. Factorial Notation
n factorial is denoted by n!. It is
the product of all positive
integers less than or equal to n.
5! Can be read as “5 factorial”
It means (5)(4)(3)(2)(1) which
is equal to 120.
(5)(4)!
(5)(4)(3)!
(5)(4)(3)(2)!

5. Factorial Notation

6. Factorial Notation
1. 5! + 2! = (5
2. 8! – 5!
= (8
= 40, 320 – 120 = 40, 200
Evaluate the following expressions:

7. Factorial Notation
3. 4! 2! = (4 = (24)(2) = 48
4. = = 120
Evaluate the following expressions:

8. Factorial Notation
5.
6.
Evaluate the following expressions:

9. Factorial Notation
1. 5! = 5
2. 3! + 3! = 6!
3. 4! = 9!
4. = 10
Determine whether each of the following
equation is True or False

10. Factorial Notation
1. 5! = 5 TRUE
2. 3! + 3! = 6! FALSE
3. 4! = 9! FALSE
4. = 10 TRUE
Determine whether each of the following
equation is True or False