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13. There are 5 different Mathematics books and 3 different Science books. In how many ways can the books be arranged on a shelf if the books of the same subject must be placed together? A. 2 040 B. 2 880 C. 40 320 D. 1 440 14. In how many different ways can 7 different- colored horses be positioned in a carousel? A. 720 B. 4 032 C. 5040 D. 362 880 15. Eleven students of Dona Asuncion Lee Integrated School are attending a meeting at the conference hall. How many different ways can they arrange themselves in a circular table? A. 3 628 800 B. 39 916 800 C. 362 880 D. 479 001 600 16. In a town fiesta singing competition with 10 contestants, in how many ways can the organizer arrange the first three winners? A. 540 B. 720 C. 360 D. 990 17. In Mathematics Club, there are 7 possible choices for the president, a secretary, a treasurer, and an auditor. Assuming that each of them is qualified for any of these positions, in how many ways can the 4 officers be elected? A. 840 ways B. 720 ways C. 540 ways D. 120 ways For items 18-20: How many ways can 4 boys and 4 girls be seated at a round table if 18. there is no restriction? A. 5 040 B. 50 400 C. 40 320 D. 362 880 19. 2 particular girls must sit together? A. 40 320 B. 1 440 C. 10 080 D. 680 679 20. all girls must sit together? A. 72 B. 720 C. 576 D. 240 Il. Problem Solving Read and analyze the given problem. Write the complete solutions on your answer sheet. Refer to the Rubrics for scoring. (5 points only) Tree Diagram Strategy Solution Answer The strategy used The answer is correct The tree diagram is The solution was clearly and labeled. correctly shown matches the problem and logically presented. correctly.(1 point) (1 point) (2 points) (1 point) 21 - 25: You want to order your lunch from the school canteen, which offers student meals consisting of 1 cup of rice, 1 meat dish, and 1 vegetable dish. The choices are below: Rice Meat Dish Vegetable Dish Plain white rice Mechado Kaldereta Chop Suey Pinakbet fried rice Lechon Kawali Sisig Ginataang Langka How many choices do you have for your meal if there are 2 choices for rice, 4 choices of meat dishes and 3 choices of vegetable dishes? Draw a tree diagram to find the total number of possible outcomes.1. Multiple Choice: Read each question carefully then encircle the letter of the best answer from the given choices. 1. Which of the following situations illustrate permutation? A. selecting fruits to make a salad B. entering the PIN of your ATM card C. forming a committee of councillors D. selecting 5 posters to hang out of 10 different posters 2. What is the value of 9! .3!? A. 6 700 288 B. 2 070 408 C. 2 177 280 D. 7 257 600 3. Which situation does NOT illustrate permutation? A. Determining the top three winners in a Math Quiz Bee B. Selecting 5 basketball players out of 10 team members for the different positions C. Picking 8 balls from a basket of 13 balls D. Assigning telephone numbers to homes 4. Which of the following expressions represents the number of distinguishable permutations of the letters of the word CORONAVIRUS? A. B. C. D. 11! 5. What is P(10,4)? A. 4 340 B. 30 240 C. 151 200 D. 5 040 6. Suppose you can have cereal, pancake, or sandwich for your breakfast and milk or juice for your drink. How many choices do you have in all? A. 3 B. 6 C. 8 D. 10 7. If P(7, r ) = 840, what is r? A. 6 B. 2 C. 4 D. 3 8. In how many ways can Aling Lorna arrange 9 potted plants in a row? A. 40 320 B. 5 040 C. 362 880 D. 720 9. Kurt was asked to find the number of three-digit numbers formed from the numbers 1, 2, 3, 4, 5 and 6 if repetition is not allowed. Which do you think is the answer of Kurt if he got the correct answer? A. 20 B. 360 C. 60 D. 120 10. In how many different ways can 12 football players be arranged in a circular huddle? A. 7 000 800 B. 39 916 800 C. 9 880 400 000 D. 3 628 800 11. In how many different ways can 5 girls and 7 boys be arranged in a row so that all five girls are together? A. 604 800 B. 86 400 C.14,400 D. 4 838 400 12. How many distinguishable permutations can be formed from the letters of the word MATHEMATICS? A. 54 620 B. 75 600 C. 4 989 600 D. 9 972 200