Write the letter of the correct answer. If the answer is not found in choices write E

INSTRUCTION: Write the letter of the correct answer in your answer sheet. I the answer is not found in the choices write letter E. 1.Which of the following situations or activities involve permutation? A. matching skirts and blouse B. forming different triangles out of 7 points on a plane, no three of which are collinear C. assigning identification number to a student D. forming a committee for a community emersion 2. The product of all positive integer n and all the positive integers less than is called A. powers of n B. multiples of n C. n factorial D. n-factors 3. It is an arrangement of objects where order is important. A. Fundamental Counting Principle B. Permutation C. Factorial D. combination 4. Which formula applies for Circular Permutation? A. P= n! platr! B. P= n! C. P = ( n-1)! D. P = n ! (n-r )! 5. Suppose a Stand Alone Senior High School plans to assign the Identification numbers of their students into eight-digit number such that no digit is to be used more than once in any ID number. How many ID numbers can be made out of 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9? A. 1,632,960 B. 1,814,400 C. 2,345,399 D. 3,243,45 . Assess logically as to how many ways can the advertising firm promote 10 politicians, 5 at a time during a 2-minute period of television broadcast? A. 252 B. 380 C. 30, 240 D. 55, 230 After the 14 day quarantine due to the COVID infection the 4 patients agreed to take as many different pictures as possible of themselves, in a line, all taken at a time in the quarantine facility. How many different pictures will be taken by them? A. 24 B. 36 C. 42 D. 50 Evaluate the given situation if five books in Algebra, three in Statistics and two Trigonometry books e to be arranged on a shelf that has space just enough for these ten books. Assume that the ooks are identical, in how many ways the librarian can arranged them? A. 2,520 B. 3,405 C. 4,230 D. 4,5609. Which of the following situations or activities involve combination? A. Entering a key lock combination. B. Selecting 15 questions to answer in an online test out of 55 questions given. C. Encoding a Personal Identification Number. D. Selecting the first top 12 senators in 2022 National Election 10. The number of ways of selecting an object where order is not important. D. differentiation A. permutation B. selection C. combination 11. The following situations below illustrates combination EXCEPT ONE. C. Choosing household chores to do after classes A. selecting fruits to make a salad B. assigning telephone numbers to home D. selecting posters to hang in the walls 12. In a raffle draw, Peter won a free trip to any two of these cities in Davao Region, Davao City, Digos City, Island Garden City of Samal, and Tagum City. How many choices Peter can select? A. 6 choices B. 8 choices C. 10 choices D. 12 choices 13. Which of the following is true about the difference between permutation and combination? A. In permutation, the order of objects is not important while in combination, the order of objects is important. B. In permutation, the order of objects is important while in combination, the order of objects is not important. C. The order of objects is not important in both permutation and combination. D. The order of objects is important in both permutation and combination. 14. Which of the following situations illustrates combination? A. Determining the arrangement of 7 potted flowers B. Determining the top three winners in a virtual Quiz Bee C. Choosing 2 out of 5 household chores to do D. Assembling a Rubik's cube 15. How many different seven-digit numbers can be formed from the numbers 9922555? A. 210 B. 360 C. 430 D. 530 16. A student was tasked to create an 11- letter code that can be formed from the word MATHEMATICS. How many codes can he generate? A. 440 B. 110 C. 1.130 D.4,989,600 17. A student assistant was tasked to arrange the books in the library in preparation for the face- to-face classes. How many different arrangements can 5 identical Calculus books, four identical Geometry books and three identical Research books be placed on a shelf? A. 2, 570 B. 3, 960 C. 4, 860 D. 27, 720 18. In how many ways can a committee of 5 be selected from a group of 10 individuals? A. 107 B. 178 C. 180 D. 25219. Three representative from the 30 active mountaineers will be tasked to do a trail research of a possible new trail heading to the summit out Mt Apo in preparation for the 2022 summer climb. In A. 2 360 how many different ways can the representatives be selected? B. 7 180 C. 8 520 D. 4 060 20. A team of experts to study a local medicine for Corona virus is to be chosen from 4 doctors from Luzon, 3 from Visayas and 2 from Mindanao. Make your critically judgement on how many different teams can be chosen if the team is to include 2 from Luzon, 2 from Visayas and 1 from Mindanao? A. 20 B. 36 C. 80 D. 100 21. What refers to the results of an experiments? A. outcomes B. Sample C. Space D. Union 22. Which one shows a set of all outcomes in an experiment? A. intersection B. sample space C. complementation D. Notation 23. Compound events basically consists of how many possible outcomes? A. more than one outcome C. less than one outcome B. only one outcome D. no outcome 24. Which formula is used for Probability of an Event? A. P(E ) = no. of ways the event can occur C. P(E ) = no. of ways the event not to occur no. of possible outcomes no. of possible outcomes B. P(E ) = no. of ways the event can occur D. P( E ) = no. of ways the trials no. of possible samples no. of outcomes 25. Which formula describes the Probability of two events E, and Ez where the sum of their respective probabilities minus the Probability of the intersection. A. P( E , U E 2) = P( E 1) + P( E 2) + P( E , QE 2) B. P( E , U E 2) = P( E 1) + P( E 2) - P( E , QE 2) C. P( E , U E 2) = P( E 1) + P( E 2) / P( E , QE 2) D. P( E , U E 2) = P( E ,) + P( E 2) XP( E , QE 2) 26. When two events or sets have nothing in common, they are said to be: A. joint sets B. disjoint sets C. balanced D. all of the above 27. When events or sets are considered joint, their intersection is what? A. null set B. an element C. nothing D. none of these 28. Which of the following is not considered probability of two events? A. the probability of an event followed by another event B. the probability that two events happen together C. the probability that an event of another event D. the probability that an event never happen 29. Which of the following is not an operation on sets? A. Union B. Intersection C. Complement D. Negation 30. Given that A = 4, 6, 8, 9 and B = 3, 5, 8 , the union of the two will have how many elements? D. 1 A. 5 B. 3 C. 231. Using the same data in no. 30, identify the elements of A Q B C. 8 D. 9 A. 4 B. 5 32. Rolling a fair dice, what is the probability of rolling an even number or a multiple of 3? A. - B. C. 2 D. 5 33. Which of these events are not mutually exclusive? A. reading a book or sleeping C. getting a red ball or a black ball B. wearing a blue or a red pants D. watching a movie or riding a bus 34. What is the formula in finding the union of two events when it is not mutually exclusive? A. P(AUB) = P(A) + P(B) - P(AnB) C. P(A and B) = P(A)x P(B) number of outcomes in the event B. P(A or B) = P(A) + P(B) D. P(E) = - number of outcomes in the sample space 35. How will you describe when the intersection of two events or subsets of the sample space are aid to be empty? A. mutually exclusive C. inclusive B. intercepted D. Complemented 36. If A and B are mutually exclusive events then P( A U B ) is equal to what expression? A. P(A) + P(B) C. P (A) - P( B) B. P(A) = P(B) D. P ( B) - P(A) 37. A rattan basket contains 10 square shaped kakanin of the same size. Five of these kakanin are biko, 4 are maja blanca and 1 is puto. If one kakanin is picked at random, what is the probability that it is a maja blanca or a puto? A . B. D. = 38. A small clay pot contains five black beans, ten red beans and eight white beans. If a bean is picked from the bag, what is the probability of getting not a white bean? A. P(not white) = B. P(not white) = , C. P(not white) = D. P(not white) = 39. The number 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ......30 are written on a wooden chips, placed in an urn and mixed evenly. One chip is picked up at random. What is the probability that a number written in the wooden chip is a multiple of 5? A. P(multiple of 5) = = C. P(multiple of 5) = 3 B. P(multiple of 5) = = D. P(multiple of 5) = 40. There are 30 volunteer in a COVID vaccination hub 18 men and 12 women. Two-thirds of the men and half of the women are married. Reflect on the probability that one volunteer chosen at random is a man or is married. A. = C. 7