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Name: Section: Date: Directions: Read and answer the question carefully. Write the letter that corresponds to your correct answer to the space provided before the number. 1. It is an arrangement of object in a definite rule. A. Event B. Probability C. Permutation D. Combination 2. It is a selection of objects, order is not matter, A. Combination B. Permutation C. Observation D. Event 3. It is the measure of the chance of an event taking place. A. Combination B. Event C. Probability D. Permutation 4. It refers to the set of possible outcomes A. Observation B. Sample Space C. Event D. Probability 5. Which of the following expression represents the numbers of distinguishable permutations of the letters of the word conclusions? 1 11 1 11 1 1! A. 11! B. C. 212121 D. 81 21212121 6. Calculate P(12,4)? A. 40,320 B. 11,880 C. 990 D. 495 7. Which of the following situation illustrates combination? A, arranging books in a shelf. B. forming plate numbers of vehicles. C. drawing names from a box containing 200 names. D. forming different numbers from 5 given units. 8. All of the activities or situations below represent combination except c , which of the following shows permutation. A. Matching shirts and parts B. Forming a committee from the members of the club C. Assigning telephone numbers to subscribers D. Forming different triangles out of 5 points on a plane, no 3 of which are inear 9. Calculate : 7! 312! A. 420 B. 840 C. 1680 D. 25 0 10. Find C(18,4). A. 73440 B. 4896 C. 3060 D. 2400 11. In how many different ways can 7 potted plants be arranged in a row? A. 210 B. 720 C. 2520 D. 504 ) 12. Calculate C (20,5). A. 6840 B. 15 504 C. 116 280 D. 1 860 480 13. In how many ways can a committee of 8 be formed from 7 juniors and 4 seniors, if the committee must have 5 juniors? A. 8 B. 56 C. 70 D. 84 14. How many different 3-digit even numbers can be formed from the digits 1, 3, 5, 6, 8, and 9 is no repetitions of digit is allowed? A. 40 B. 72 C. 120 D. 216 15. How many different 3- digits number can be formed from the digits 1, 3, 4, 6, 7 and 9 if repetitions is not allowed? A. 840 B. 720 C. 360 D. 120 16. Jean has 5 skirts, 4 blouses and 2 pairs of shoes. How many different outfit combination can she put together? A. 40 B. 38 C. 35 D. 20 17. In how many ways can 5 men and 4 women arrange themselves in a row for picture taking if the men and women must stand in alternative positions? A. 144 B. 720 C. 2880 D. 5040 18. In how many different ways can all the letters of the word PEACEFULbe arranged? A. 20 000 B. 20 060 C. 20 160 D. 20 260 19. In how many ways can a committee of 6 be chosen from a group of 15 students? A. 505 ways B. 5 005 ways C. 5050 ways D. 5 500 ways 20. How many 3-digit numbers can be formed from the digits 1, 2, 3, 4, and 5? A. 125 B. 120 C. 115 D. 11021. Which of the following situations does not illustrates combination? A. selecting fruits to make a salad B. choosing household chores to do after classes C. Assigning telephone numbers to homes D. selecting posters to hang in the walls of your room 22. If a combination lock must contain 6 different digits, in how many ways can code be formed from the digits 0 to 9? A. 1 000 000 B. 151 200 C. 30 240 D. 15 120 23. In how many different ways can 10 different colored horses be positioned in a carousel? A. 504 B. 4 032 C. 362 880 D. 3 628 800 24. Evaluate: C(25,4) + C(30,3) + C(35, 2). A. 4655 B. 16710 C. 17 305 D. 17 900 25. If P(n,3) - 504, then n = A. 12 B. 10 C. 9 D. 8 26. How many 3- letter codes can be formed from the word HAPPY? A. 60 B. 50 C. 40 D. 30 27. A woman has 6 close friend, In how many ways may she invite for more of them to a luncheon? A. 108 B. 72 C. 63 D. 36 28. In a room, there are 10 chairs in a row, In how many ways can 3 students be seated in consecutive chairs? A. 120 B. 720 C. 5040 D. 40 320 29. If P(9,r) = 504, what is r? A. 3 B. 5 C. 6 D. 7 30. If (n,5) = 252, then n = A. 10 B. 9 C. & D. 7 31. Evaluate: C (9,7)x C(7,7) C(5,5) x C(7,6) 36 A. 29 C. - D. 1 32. In a 15 - item Math problem - solving test, how many ways can you s ct 9 problems to solve? A. 5005 B. P (15,9) C. 10 010 D. P(: 5,6) 33. If P(n,2) = 55, what is n? A. 11 B. 12 C. 13 D. 14 34. In a dance contest, each participating group must perform _ kinds of e, if there are 5 choices for ballroom, 7 choices for foreign dance and 6 choices for hip hop, In . any possible ways can a dance group select their piece? A. 65 B. 210 C. 18 D. 25 35. How many different ways can be formed from 8 distinct points on a place, no 3 of which line on the same line? A. 56 B. 26 C. 28 D. 4 36. Four of 7 students who have volunteered will be chosen to hand out prog ams at the drama club performance. How many combinations of these students can be selected. A. 35 B. 40 C. 45 D. 50 37. Khristelle was able to calculate the total number of 3 - digit numbers that can be formed from a given set of non-zero digits, without repetition, if there were 60 numbers in all, how/ many digits were actually given? A. 8 B . 7 C. 6 D. 5 38, In a gathering, each of the guest shook hands with everybody else if a tota of 378 hands shakes were made, how many guests were there? A. 30 B. 28 C. 25 D. 23 39. The Open Mind Band has 20 songs to perform in a concert. At the upcoming Battle of the Bands, they will play 2 songs. In how many different orders can they perform two of theirs songs? A. 400 B. 380 C. 308 D. 830 40. A basket contains 4 star apples, 5 mangoes and 8 guavas. How many ways c n 2 star apples, 1 mango, and 2 guavas be chosen? A.160 B. 320 C. 840 D. 480 Parent/Guardian signature over printed name
