COMBINATIONS. Grade 10 Mathematics 4th Qpptx

Mathematics

1. COMBINATIONS Lesson 1 – Introduction to Combinations Lesson 2 – Combination Formula Lesson 3 – Word Problems Involving Combinations

2. Study the tasks or activities below and then answer the questions that follow 1. Choosing 3 fruits in the fruit stand out of 10 different fruits. 2. Opening an email password. 3. Winning in a contest. 4. Forming plates numbers of vehicles. 5. Entering the PIN (Personal Identification Card) of your ATM. 6. Selecting 5 questions to answer out of 10 questions. 7. Choosing household chores to do after answering the module. 8. Drawing a set of 6 numbers in a lottery containing numbers 1 to 45.

3. Study the tasks or activities below and then answer the questions that follow 1. Choosing 3 fruits in the fruit stand out of 10 different fruits. 2. Opening an email password. 3. Winning in a contest. 4. Forming plates numbers of vehicles. 5. Entering the PIN (Personal Identification Card) of your ATM. 6. Selecting 5 questions to answer out of 10 questions. 7. Choosing household chores to do after answering the module. 8. Drawing a set of 6 numbers in a lottery containing numbers 1 to 45. Guide Questions: In which tasks/ activities are order or arrangement important? 2. In which tasks/ activities are order or arrangement not important? 3. Which situation/s above illustrate combination? Why?

4. COMBINATIONS Combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection is not important. In combination, you can select the items in any order.

5. Study the tasks or activities below and then answer the questions that follow 1. Choosing 3 fruits in the fruit stand out of 10 different fruits. 2. Opening an email password. 3. Winning in a contest. 4. Forming plates numbers of vehicles. 5. Entering the PIN (Personal Identification Card) of your ATM. 6. Selecting 5 questions to answer out of 10 questions. 7. Choosing household chores to do after answering the module. 8. Drawing a set of 6 numbers in a lottery containing numbers 1 to 45.

6. Given the set of students (Lita, Nancy, Cecile and Sol), how many committees consisting of two students in each can be formed?

7. How many different triangles out of points plotted, say A, B, C, and D, of which no three are collinear?

8. YES NO YES YES YES YES YES NO NO NO

9. COMBINATIONS

10. COMBINATION NOTATIONS

11. SOLVE In a raffle draw, Niño won a trip to any two of these cities: Cebu, Baguio, Vigan, and Davao. How many choices does he have?

12. SOLVE In how many ways can 5 people arrange themselves in a row for picture taking. PERMUTATION

13. SOLVE A soloist is auditioning for a musical play. If she is required to sing any 3 of the 7 prepared songs, in how many ways can she make her choice COMBINATION

14. SOLVE How many distinguishable permutations are there for the letters of the word GUADALUPE taken all together? PERMUTATION

15. SOLVE An engineer needs 5 carpenters. Ten qualified carpenters applied for the job. In how many ways can an engineer make his selection COMBINATION

16. Given the set of students (Lita, Nancy, Cecile and Sol), how many committees consisting of two students in each can be formed?

17. Given the set of students (Lita, Nancy, Cecile and Sol), how many committees consisting of two students in each can be formed? P C C P C P P P C P P P C