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
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.
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.
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.
24.
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!
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