permutation lesson

2. 3x2x1=6

3. !
x4x3x2x1=120
5
5 =120

4. In Mathematics, factorial refers to the product of all
positive integers less than or equal to a particular
positive integer. It is usually denoted by that integer
and an exclamation point.
That is, n!= n x (n-1) x…x 1.
Factorial Notation

5. EXERCISE:
1. 3!
Ans: 6

6. EXERCISE:
2. 4!
Ans: 24

7. EXERCISE:
3. 4! + 3!
Ans: 30

8. EXERCISE:
4.
𝟔!
𝟒!
Ans: 30

9. EXERCISE:
5. (20-17)! =
Ans: 6

10. Special case of
Factorial Permutation
1! and 0! is always equal to 1.

11. PERMUTATION
is a mathematical technique
that determines the number
of possible arrangements in a
set when the order matters.
arrangements
order

12. Activity:
Identify which is illustrate a permutation.
Comment LIKE EMOJI if the order is Permutation and
comment HEART EMOJI if the orders is not permutation
1. Determining the top three winners
in mathematics Quiz Bee.

13. Activity:
2. Choosing five groupmates for your
Mathematics Project.

14. Activity:
3. Three people posing for
a picture.

15. Activity:
4. Assigning 4 practice
teachers to 4 different
grade levels

16. Activity:
5. Picking 2 questions from
a bowl.

17. The permutation of 𝑛 things or objects taken 𝑟 at
a time can be denoted in different ways:
𝑷 (𝒏, 𝒓) or 𝑛𝑃𝑟 or 𝑷(
𝑛
𝑟
)
Where:
n is the number of objects and
r is the number of how many objects will
be taken at a time.

18. Evaluate the following:
1. P(5,3)=
2. P(8,2)=
3.
𝑃 (6,2)∙𝑃(5,3
P(4,2)
=
4.
𝐏(𝟓,𝟐)∙𝐏(𝟑,𝟐)
𝐏(𝟒,𝟐)
=
120
56
150
10

19. Let’s solve problem involving permutation
1. There are 4 cyclists in a race. In how many
ways will they be ranked as first, second, and
third placers?
a. What is the value n?
b. what is the value r?
c. What is answer?
= 4
= 3
P(4,3)= 4x3x2 = 24

20. Let’s solve problem involving permutation
2. Arranging 4 different potted plants in a
row.
a. What is the value n?
b. what is the value r?
c. What is answer?
= 4
= 4
P(4,4)= 4x3x2x1
= 24

21. Let’s solve problem involving permutation
3. Electing a Mathematics club president,
vice-president and a secretary from 10
members.
a. What is the value n?
b. what is the value r?
c. What is answer?
= 10
= 3
P(10,3)= 10x9x8
= 720

22. Fundamental Counting Principle (FCP)
The Fundamental Counting Principle
(FCP) states that if one event has m
possible outcomes and a 2nd event
has n possible outcomes, then there
are m⋅n total possible outcomes for
the two events together.

23. (GROUP ACTIVITY)- Presenter, secretary, team leader
Cycling is good for health so many
workers choose to use bicycle
going to their workplace. Help the
5 workers reach their workplace
by crossing the right way going to
work.

25. Decode: Me! Solve the problem and write the matching letter on the blank
above the answer.
1) A-------- 0!
2) B-------- 4!+2!
3) K-------- P(6,2)
4) D-------- P(4,3)
5) I--------- P(7,2)
6) L-------- a horse race has 12 horses. How many different
ways can first, second and third occur?
7) M-------- 8!-7!
8) N-------- The number of photographs of 10 friends taken 3
at a time.
9) O-------- In how many ways can you arrange 5 math books
on a shelf?
10) S-------- P(3,3)
11) Y-------- 7!

26. What are the DepED Core Values?

27. What is Factorial Notation?
factorial refers to the product
of all positive integers less
than or equal to a particular
positive integer

28. What is a permutation?
refers to any one of all
possible arrangements of the
elements of the given set.

29. Quiz Time!
Directions: Choose the letter of the correct answer
_____________1) A ________ is an arrangement of things in a definite order or ordered
arrangement of objects.
S. permutation M. probability I. integration L. combination
_____________2) It is the product of all positive integers less that or equal to a particular positive
integers.
S. permutation M. Factorial Notation I. Probability E. Combination.
_____________3). Evaluate 4! - 3!
S. 16 M. 17 I. 18 L. 19
_____________4). Which of the following is equal to
6∙5∙4∙3∙2∙1
4∙3∙2∙1
?
S.
6!
3!
M.
6!
5!
E.
4!
6!
L.
6!
4!
_____________5. Ms. Cruz loves collecting plants. Suppose that she has 6 different potted plants
and she wishes to arrange 4 of them in a row, in how many ways can this be done?
E. 360 L. 720 I. 24 S. 1020

30. Agreement/ Assignment
Study the
Combination
SLM (mod 3)
Reference:
LM pages 285-290.