The document is a lesson plan that covers the concept of combinations in mathematics, specifically focusing on combinations without and with repetition. It includes objectives, motivational activities, and exemplifies problems using real-life situations, such as selecting fruits and forming words. The lesson also includes exercises for applying the combination formula and encourages group participation.

1. COMBINATION
Prepared by;
Carmela Jane B.
Baldosano

2. PRAYER
Heavenly Father,
You hold each of us in your loving hands.
Come fill our hearts, minds and bodies afresh with
hope.
Help us to cast our worries upon you, so that we
can embrace our learning today.
Bless us as we study and grow together.
Come and anoint those who teach and tutor us to
be bringers of insight and knowledge.
Lord, watch over us all, keep us safe within your
Almighty hand.
Amen.

3. OBJECTIVES
1. Define the meaning of
combination and its type.
2. Identify 1 type of combination
that is (Combination without
Repetition) and its formula
3. Apply this types of combination
formula in a given daily life
situation.

4. YELLOW BLUE ORANGE
BLUE YELLOW YELLOW
BLACK ORANGE BLUE
ORANGE WHITE PURPLE
PINK RED GREEN

5. Review
1. What are the types of
permutation?
2. What is the general formula of
Permutation?
3. What is the formula of circular
permutation?
4. How about the formula of
distinguishable permutation?

6. Motivation. Start Up Activity!
Let’s say there are five different fruits ;( Mango, Banana,
Guava, Papaya, and Pomelo) but you can only have 3 fruits.
How many ways can you choose 3 of each type of fruit
out of 5 Choices?

7. Possible Result
10 ways to choose 3 fruits out

8. Combination
- a set of distinct object in an
unordered selection of elements from
a set.
TYPES OF COMBINATION
 COMBINATION WITHOUT REPETITION
 COMBINATION WITH REPETITION

9. Combination w/o Repetition Formula
C(n,r)
=
n
!
r
!
(n-
r)!
Where n is
the number
of things to
choose from,
and you
where r ≤

10. Activity 1: Let’s say I have five different fruits ( Mango,
Banana, Guava, Papaya, and Pomelo) but you can only
have 3 fruits.
C=
n!
r
!
(n-
r)!
How many ways can you choose 3 of each type of fruit out of
5 Choices?
n= 5 r = 3
C(n,r)=
5!
3
!
(5-
3)!
=
5!
3 (2)
5x4x3x2
x1
2x
1
3x2x
1
C
=
2
0
2
C=
1
0
C(5,3)
=

11. In how many ways can you pick a
team of 3 people from a group of
10?

12. Start Up Activity!
Group yourselves into 4 with (2 boys and 2 girls) and
answer the given activity within 3 minutes.
Problem: In your English subject, the teacher give
you 4 LETTERS which are D, R, E, A. And ask
you to form 3-letter word out of 4 given letters.
How many different 3-letter words can be created
from 4 distinct letters such as D, R, E, and A.
Without Explaining the process of your work give a hint of your
final answer through singing, dancing, poem and drawing.

13. Check! In your English subject, the teacher give you 4 LETTERS
which are D, R, E, A. And ask you to form 3-letter word out of 4
given letters.
How many different 3-letter words can be created from 4 distinct
letters such as D, R, E, and A. ?
C=
n!
r
!
(n-
r)!
n= 4 r = 3
C(n,r)=
4!
3
!
(4-
3)!
=
4!
3 (1)
4x3x2
x1
1 3x2x
1
C
=
4
1
C=4
C(4,3)
=

14. Generalization?
 What is the meaning of combination?
 What are the two types of
combination?
 What is the formula of combination
without repetition?

15. Direction: Read the following problem and answer the following using
Combination w/o repetition formula.
1. Recently a magnitude 6.6 strong earthquakes struck Cotabato and other
parts of Mindanao in the last few days of October and NGO’S and
Government have extended hands to help the victims of the said
calamity. Mr. Cruz one of the victim was asked to choose 2 packs of goods
out of 13 remaining packs of relief goods. In how many ways can Mr. Cruz
choose 2 packs of relief goods out of 13?
2. Six friends want to play enough games of chess to be sure everyone plays
everyone else. How many games will they have to play?
3. In how many ways can a coach choose three runners from among five
runners?
4. A grade 11 student need 8 more classes to to promote to the next year
Evaluation:

16. Direction: Solve the following using combination w/o repetition formula.
1.C(8,3) =
2.C(7,4) =
3. C (9,9) =
4. C (6,3) =
5. C (11,6) =
Extra Work:

17. “Mathematics may not teach us how to add love
or how to minus hate.
But it gives us every reason to hope that “every
problem has a solution”
Quote of the day:

18. Thank
You…