1) Twenty balls in a jar are numbered from 1 to 20. A ball is drawn at random. What is the probability that the number on the ball is less than 11 or greater than 15? a) 2/3 b) 3/4 c) 4/5 d) 5/6 2) How many ways can you arrange books of the same kind if there are 4 Math books, 3 Science books, and 2 English books on a shelf? a) 1260 b) 1270 c) 1264 d) 1274 3) Which of the subsequent scenarios or actions pertains to permutations? a) Electing student representatives in a class b) Establishing a committee with 5 members c) Purchasing 5 sets of shoes d) Selecting class representatives 4) When deriving the combination formula, which factor accounts for overcounting due to order? a) n! b) (n−r)! c) r! d) nPr 5) Max rolled a fair die. What is the probability of getting even or number greater than 3? a) 1/6 b) 2/3 c) 1/2 d) 1 6) n rolling a die, what is the probability of getting an even or a perfect square? a) 1/6 b) 3/4 c) 2/3 d) 4/5 7) During a Barangay Bigaa Youth Council activity, 3 representatives are chosen from 8 volunteers. In how many ways can the representatives be selected? a) 8 b) 24 c) 56 d) 336 8) How many arrangements of 2 letters can be made from the word MATH without repeating letters? a) 6 b) 8 c) 12 d) 16 9) Which situation exemplifies the concept of permutation, specifically involving the arrangement or selection of distinct elements? a) Assigning rooms to conference participant b) Choosing 2 literature books to buy from a variety of choices c) Forming a committee of councilors d) Selecting 10 questions to answer out of 15 questions in a test 10) Which of the following situations or activities involves permutation? a) Assigning telephone numbers of subscribers b) Forming a committee from the members of a club c) Forming different triangles out of 5 points on a plane, no three of which are collinear d) Matching shirts and pants 11) In a draft phase of a mobile game, your team has first pick, and there are 10 different heroes available. How many different ways can you choose your first hero? a) 10 b) 45 c) 90 d) 120 12) In which tasks or activities is the sequential arrangement of elements considered insignificant? a) Assigning seats to guest at dinner b) Choosing 5 questions to answer out of 10 questions in a test c) Opening a combination lock d) Winning in a contest 13) Given the figure below, which is the correct set notation for “A intersection B”? a) {9, 12, 18} b) {8, 9, 11, 12, 14, 18} c) {8, 11, 14} d) {15} 14) Which situation below best illustrates a permutation? a) Choosing 2 fruits from 5 fruits b) Selecting a committee of 3 members c) Arranging 3 books on a shelf d) Choosing 1 card from a deck 15) n C (n, r), which of the following is the representation of n in the problem:In a 10-item Mathematics problem-solving test, how many ways can you select 5 problems to solve? a) 0 b) 5 c) 10 d) 15 16)  The former or native name of Cabuyao City was “Tabuko”. How many distinguishable permutations are possible with all the letters of the word "CABUYAO"? a) 720 b) 2520 c) 5040 d) 40320 17) In how many ways can 20 students be paired for an activity in Mathematics? Which of the following values will represent r in the combination notation? a) 1 b) 2 c) 3 d) 4 18) Given the figure on the right, which is the correct set notation for A U B? a) {12, 14, 15, 18, 21} b) {10, 11, 12, 14, 15, 18, 21} c) {10, 11, 13, 16, 17, 19, 20} d) {12, 14, 15} 19) What does the shaded portion of the given Venn diagram below represent? a) Not p b) p and q c) p or q d) Not q 20) Two events are mutually exclusive if they cannot occur simultaneously. Identify the event among the following options that does not demonstrate mutual exclusivity. a) Getting a 2 and a 4 in a toss of a die b) Getting a head and a tail in a toss of a coin c) Getting a spade and a queen in a draw of a card d) Winning and losing in a game 21) In how many ways can 10 different- colored horses be positioned in a carousel? a) 504 b) 4, 032 c) 362, 880 d) 3, 628, 800 22) In how many possible ways can Juan answer a 10- item matching type quiz if there are also 10 choices and he answers by mere guessing? a) 10 b) 720 c) 40, 320 d) 3, 628, 800 23) Brian likes to wear colored shirts. He has 10 shirts in the closet. Three of these are blue, four are in different shades of red, and the rest are of mixed or different colors. What is the probability that he will wear a blue or a red shirt? a) 7/10 + 4/10 b) 3/10 + 4/10 c) 3/10 + 7/10 d) 7/10 - 4/10 24) The word combination is best described from which of the following? a) Arrangement of an object b) Selection of an object c) Tendency of an object to be chosen d) All of the above 25) How many ways can you arrange books of the same kind if there are 4 Math books, 3 Science books, and 2 English books on a shelf? a) 1260 b) 1264 c) 1270 d) 1274

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