Permutations in real-life

5. Mathematics 10
Illustrations of Permutations
In Real-life

6. Lesson Objectives:
a. Illustrates the permutation of objects.
b. List the possible ways certain task or activity can
be done
c. Appreciate permutations as vital part of one’s life.

7. Call Me!!!
*The class will be divided into four groups ( 4 ).
*Each group will be allowed to use 4 cell phones which will be used in the
activity.
*The contact numbers will be written in a piece of paper.
*One member will be assigned as writer of the picked number on the board,
and one to dial / contact the number written on the board.
*The fastest group to contact 3 numbers will be the winner of the game and
will earn an additional of 3 points in the assessment of the day.
Activity
1

8. For you to contact a specific cell
phone number, why is it
important to enter/dial the
numbers correctly?

9. Permutation
Permutation is an arrangement of all or parts of
a set of objects with proper regard to order.
Permutations can be determined by listing,
using table, tree diagramming, and by using the
Fundamental Counting Principle. FCP is used to
calculate the total number of permutations in a given
situation.

10. Is order or arrangement
important?
Tell whether order or arrangement in the
situations below is important. Show a happy face
if order or arrangement is important while sad
face if order is not important. You may use your
cell phone or any gadget that you have with you.
Activity
2

11. 1.Ten players from different municipalities (San Juan, San Jose, Taysan, Padre
Garcia, Ibaan, Rosario, Calaca, Lemery, Balayan, Lian) joined the badminton
tournament in the Division Meet 2023 held at Balayan, Batangas. In how many
possible ways can they be arranged as first, second and third placers?
2. In how many ways can Allijah arrange 5 potted plants in a row?
3. Picking six (6) balls from a basket of 12 balls.
4. Suppose that in a certain association, there are 12 elected members of the
Board of Directors. In how many ways can a President, Vice-President, Secretary
and a Treasurer be selected from the Board?
5. In a 10-item pen and paper problem solving test, how many ways can you select
5 problems to solve?
Order is
important
Order is not
important

12. 1.
2.
3.
4.
5.

13. Permutation or not?
Tell whether the situation illustrates permutation or not.
1. Determining the top three winners in a Mathematics Quiz
Bee.
2. Choosing five group mates for your Mathematics project.
3. Three people posing for a picture.
4. Assigning 4 practice teachers to 4 different grade levels.
5. Picking 2 questions from a bowl.
Activity 3

14. Illustration Time
Show the possible ways the activity can be done as permutation of
objects. You may use Table, Listing, Tree Digram or FCP.
1.Ten players from different municipalities (San Juan, San Jose, Taysan,
Padre Garcia, Ibaan, Rosario, Calaca, Lemery, Balayan, Lian) joined the
badminton tournament in the Division Meet 2023 held at Balayan,
Batangas. In how many possible ways can they be arranged as first, second
and third placers?
2. In how many ways can Allijah arrange 5 potted plants in a row?
3. Suppose that in a certain association, there are 12 elected members of
the Board of Directors. In how many ways can a President, Vice-President,
Secretary and a Treasurer be selected from the Board?

15. Arrange and appreciate
Students will be given situations to
appreciate permutations as vital part of one’s
life.
Activity 4

16. Point System
Correctness = 10 points
Creativity in Presentation = 15 points
Teamwork = 5 points
Total = 30 points
Pork and chicken adobo recipe
Hawak Kamay by Yeng Constantino
Never to Give Up
Wedding Entourage

17. Pork and chicken adobo recipe
• Add whole peppercorn, bay leaves, oyster sauce, soy sauce,
and water. Let boil and simmer until the meat gets tender.
• Heat oil in a pan
• Add salt to taste. Stir, and cook for 2 minutes.
• Serve. Share and enjoy!
• Pour-in vinegar and let boil. Simmer until most of the
liquid evaporates.
• Once the oil becomes hot, add the garlic. Cook until the
color turns golden brown.
• Add pork and chicken. Cook for 5 minutes or until the
color turns light brown.

18. Minsan madarama mo kay bigat ng problema
Minsan mahihirapan ka at masasabing di ko makakaya
Tumingin ka lang sa langit baka sakaling may masumpungan
O di kaya ako'y tawagin malalaman mong kahit kailan
Hawak-kamay di kita bibitawan sa paglalakbay
Sa mundo ng kawalan
Hawak-kamay di kita iiwan sa paglakbay
Dito sa mundong walang katiyakan
Minsan madarama mo ang mundo'y gumuho sa ilalim ng iyong mga paa (ang mundo'y)
At ang agos ng problema'y tinatangay ka
Tumingin ka lang sa langit baka sakaling may masumpungan (langit masusumpungan)
Hawak-kamay di kita iiwan sa paglakbay
Dito sa mundong walang katiyakan
Hawak-kamay di kita bibitawan sa paglalakbay
Sa mundo ng kawalan
Hawak Kamay by Yeng Constantino

19. Pretty soon, everyone was amazed as the donkey stepped
up over the edge of the well and trotted off!
One day a farmer’s donkey fell down into a well. The
animal cried piteously for hours as the farmer tried to
figure out what to do. Finally, he decided the animal was
old and the well needed to be covered up anyway it just
wasn’t worth it to retrieve the donkey.
At first, the donkey realized what was happening and
cried horribly. Then, to everyone’s amazement, he quieted
down.
Never to Give Up

20. A few shovel loads later, the farmer finally looked down
the well and was astonished at what he saw. With every
shovel of dirt that fell on his back, the donkey was doing
something amazing. He would shake it off and take a step
up. As the farmer’s neighbors continued to shovel dirt on
top of the animal, he would shake it off and take a step
up.
He invited all his neighbors to come over and help him.
They all grabbed a shovel and begin to shovel dirt into the
well.

21. Wedding Entourage
Bride and Parents
Groom and parents
Best man
Flower Girls, Ring Bearer and Bible Bearer
Bride’s Maid and Groom’s Men
Principal Sponsors
Maid of Honor

22. Point System
Correctness = 10 points
Creativity in Presentation = 15 points
Teamwork = 5 points
Total = 30 points
Pork and chicken adobo recipe
Hawak Kamay by Yeng Constantino
Never to Give Up
Wedding Entourage

23. Group Presentation

24. Pork and chicken adobo recipe
1. Heat oil in a pan
2. Once the oil becomes hot, add the garlic. Cook until the color
turns golden brown.
3. Add pork and chicken. Cook for 5 minutes or until the color
turns light brown.
4. Add whole peppercorn, bay leaves, oyster sauce, soy sauce,
and water. Let boil and simmer until the meat gets tender.
5. Pour-in vinegar and let boil.Simmer until most of the liquid
evaporates.
6. Add salt to taste. Put-in the fried garlic, stir, and cook for 2
minutes.
7. Serve. Share and enjoy!

25. One day a farmer’s donkey fell down into a well. The animal cried
piteously for hours as the farmer tried to figure out what to do. Finally,
he decided the animal was old and the well needed to be covered up
anyway it just wasn’t worth it to retrieve the donkey. He invited all his
neighbors to come over and help him. They all grabbed a shovel and
begin to shovel dirt into the well. At first, the donkey realized what
was happening and cried horribly. Then, to everyone’s amazement, he
quieted down.
A few shovel loads later, the farmer finally looked down the well and
was astonished at what he saw. With every shovel of dirt that fell on his
back, the donkey was doing something amazing. He would shake it off
and take a step up. As the farmer’s neighbors continued to shovel dirt
on top of the animal, he would shake it off and take a step up.
Pretty soon, everyone was amazed as the donkey stepped up over the
edge of the well and trotted off!

26. Moral: Life is going to shovel dirt on you, all
kinds of dirt. The trick is to not to get
bogged down by it. We can get out of the
deepest wells by not stopping. And by never
giving up! Shake it off and take a step up!

27. Wedding Entourage Processional
Groom and Parents
Best man
Flower Girls, Ring bearer and Bible Bearer
Bride’s maid and Groom’s Men
Principal Sponsors
Maid of Honor
Bride and Parents

28. Hawak Kamay by Yeng Constantino
Minsan madarama mo kay bigat ng problema
Minsan mahihirapan ka at masasabing di ko makakaya
Tumingin ka lang sa langit baka sakaling may masumpungan
O di kaya ako'y tawagin malalaman mong kahit kailan
Hawak-kamay di kita iiwan sa paglakbay
Dito sa mundong walang katiyakan
Hawak-kamay di kita bibitawan sa paglalakbay
Sa mundo ng kawalan
Minsan madarama mo ang mundo'y gumuho sa ilalim ng iyong mga
paa (ang mundo'y)
At ang agos ng problema'y tinatangay ka
Tumingin ka lang sa langit baka sakaling may masumpungan (langit
masusumpungan)
O di kaya ako'y tawagin malalaman mo na kahit kailan
Hawak-kamay di kita iiwan sa paglakbay
Dito sa mundong walang katiyakan
Hawak-kamay di kita bibitawan sa paglalakbay Sa mundo ng kawalan

29. Remember!!!
Permutation is an arrangement of all or parts of
a set of objects with proper regard to order.
Permutations can be determined by listing,
using table, tree diagramming, and by using the
Fundamental Counting Principle. FCP is used to
calculate the total number of permutations in a given
situation.

30. Study the following situations. Identify which situations
illustrates permutation. Then give an example of possible
arrangements.
1. Arranging 4 different potted plants in a row
2. Choosing an outfit from 3 blouses and 2 skirts.
3. Hanging three (3) paintings in the wall.
4. Answering a five-item true or false test.
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31. Assignment
Write TRUE if the activity/ situation illustrates
permutation of distinct objects and
write FALSE if it does not.
1. Shoe is the anagram for hose.
2. She arranges 6 potted plants in a row.
3. One possible arrangement of CREAM is MARCE.
4. The letters of MATH can be arranged into 24 ways.
5. He selects 2 leaders from the 5 members in the group.