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Direction: Read each item carefully and encircle the letter that corresponds to your answer. "Striving for success without hard work is like trying to harvest where you haven't planted." By; David Bly 1. What do you call the different arrangements of the 9. if P (9, r )=504, what is r? objects of a group? A. 7 B. 6 C. 5 D. 3 A. Selection C. permutation 10. Miss Cruz plotted some points on the board, no B. B. differentiation D. combination three of which are collinear. When she asked her 2. Which situation illustrates permutation? student to draw all the possible lines through the points, A. forming a committee of councilors he came up with 45 lines. How many points were on the B. selecting 10 questions to answer out of 15 board? A. 10 B. 9 C. 8 D. 7 questions in a test 11. If C(n,n) = C. choosing 2 literature books to buy from a A.n B.r C. 1 D. cannot be determined variety of choices 12. Which of the following can be a value of r in C D. assigning rooms to conference participants 3. Which of the following situations does NOT (15, r) = 1365 A. 6 B. 5 C. 4 D. 3 illustrate combination? A. Selecting 2 songs from 10 choices for an 13. If C (n,5) =252, then n= A. 7 B. 8 C. 9 D. 10 audition piece 14. Find C (18, 4). B. Fixing the schedule of a group of students who A.2400 B.3060 C.4898 D.73 440 must take exactly 8 subjects 15. Evaluate: C (25, 4) + C (30, 3) + C (35, 2) C. Enumeratiog the subsets of a set A.17 900 B. 17 305 C.16 710 D.4655 D. Identifying the lines formed by connecting 16. In how many different ways can 7 potted plants be some given points on a plane arranged in a row? 4. Which of the following expressions represents the A.5040 B. 2520 C.720 D.210 number of distinguishable permutations of the letters of the word CONCLUSIONS? 17. In how many different ways can 10 different - coloured horses be positioned in carousel? A. 11! B. 11! 11! C.2121 21 D. 21212121 A.540 B.4032 C.362 880 D.3 628 800 5. A certain restaurant allows you to assemble your 18. Calculate: C (20, 5) own vegetable salad. If there are 8 kinds of A.6840 B.15 504 C.116 280 D.1860 480 vegetables available, how many variations of the 19. Find the number of distinguishable permutations of salad can you make containing at least 5 vegetables? the letters of the word EDUCATED. A. 56 B.84 C. 93 D. 96 A. 1680 B. 10,080 C. 20,160 D. 40,320 6. Calculate P (12,4). 20. How many three-letter permutations are there in A. 40 320 B. 11 880 C.990 D. 495 the word BEAUTY? 7. How many different 3-digit numbers can be formed A. 216 B. 120 C. 63 D. 27 from the digits 1, 3, 4, 6 , 7, 9 if repetition of digits 21. Which of the following is an experiment? is not allowed? A. Choosing a card from a deck of cards A. 840 B.720 C.360 D.120 B. Tossing a coin 8. If P (n, 4) =17,160, then n= C. Rolling a die 4. 9 B .11 C.13 D.14 D. All of the above22. Which of the following is an outcome? 28. What is the probability of drawing a Heart or a black A. Choosing a marble from a bag card? B. Tossing a coin twice A. = B. 2 C. 39 2 C. Getting a head 52 26 D. 26 D. Rolling a die 29. If drawing two cards without replacement. What is 23. Which of these events are mutually exclusive? the probability of getting a queen and a king of heart? A. getting a prime number or a factor of 4 when a 3 5 4 A. 52 B. 52 C. 2652 D. die is rolled 2652 B. drawing a spade or a red card from a standard 30. If a coin is tossed 5 times, what is the probability deck of cards that all five tosses come up tails? C. driving a car or being drunk 5 10 B. 10 C . 32 D. 32 D. driving a car or texting For numbers 31-32 24. The probability of heads landing up when you flip A pouch contains 10 candies of the same shape and size. a coin is -. What is the probability of getting tails if Five of the candies are mints, 4 are toffees and 1 is chocolate. you flip it again? 31. If one candy is picked at random, what is the probability A.- B. c." D.- that it is a toffee? 25. Suppose you roll a red die and a green die. The A. C. D. probability that the sum of the numbers on the dice is 32. If one candy is picked at random, what is the probability equal to 9 is - since there are 4 of the 36 outcomes where that it is a mint or a chocolate? the sum is 9. What if you see that the red die shows the number 5, but you still have not seen the green die? What A. 5 - B .5 65 D. 5 then are the chances that the sum is 9? 33. A card is chosen at random from a standard deck of cards. A. B.7 What is the probability of choosing a queen or a heart? 26. If a coin is tossed 3 times, what is the probability that 13 52 B. 15 17 all three tosses come up heads given that at least two of 52 52 the tosses com up heads? 34. A card is chosen at random from a standard deck of cards. A. B.- D.4 What is the probability of choosing a queen or a heart? 13 15 17 27. A class has the following grade distribution: A. 52 B. 52 C. 13 D. 52 Grade Number of Students 35. What is the probability of choosing a consonant 95 5 from the alphabet? 90 14 A. 1 B. 5 21 22 85 26 26 C. 26 D. 26 80 For numbers 36 to 40. 75 If a bag contains 5 red marbles, 7 blue marbles, and 3 green Suppose that a student passes the course if she or he marbles. Two marbles are randomly drawn from the bag and gets a grade of 80. If a student is randomly picked replaced after the first draw. Find the probability of drawing from this class, what is the probability that the a red and a green marbles. Show your solution In another student's grade is 95 if it is known that the student is sheet of paper. passing the course? A. 35 B. C. TO D. 28 For numbers 28 to 29. In a standard deck of 52 playing cards includes 13 ranks of each of the four suits: Club, spade, diamond, and heart