combination.pptx quarter 3````````````````````````````````````````

ppt

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 Define the meaning of combination and its type . Identify 1 type of combination that is (Combination without Repetition) and its formula 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 What are the types of permutation? What is the general formula of Permutation? What is the formula of circular permutation? 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 of 5 choices

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 choose r of them.   where r ≤ n

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 )! 5x4x3x2x1 2x1 3x2x1   C= 20 2   C= 10   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 )! 4x3x2x1 1 3x2x1   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. 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? Six friends want to play enough games of chess to be sure everyone plays everyone else. How many games will they have to play? In how many ways can a coach choose three runners from among five runners? A grade 11 student need 8 more classes to to promote to the next year level. If she met the prerequisites for all the courses, how many ways can she take 4 classes next semester? There are 4 men and 5 women in a small office. The customer wants a site visit from a group of 2 man and 2 women. How many different groups can be formed from the office? Evaluation:

16. Direction : Solve the following using combination w/o repetition formula. 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 …