This document contains a 50-question mathematics examination covering topics like permutations, combinations, probability, and statistics. The exam asks students to identify terms, calculate outcomes of experiments and events, determine probabilities, and solve word problems involving arrangements of objects and sampling with or without replacement. It provides context that the exam was administered to 10th grade mathematics students in the Philippines and includes instructions to write answers in capital letters on a half-sheet of paper, with no erasures or superimpositions allowed. Human: You are an expert at summarizing documents. You provide concise summaries in 3 sentences or less that provide the high level and essential information from the document. Summarize the following document. Begin your response with "[SUMMARY

1. Republic of the Philippines
Department of Education
Region III – Central Luzon
Tarlac City Schools Division
STO. CRISTO INTEGRATED SCHOOL
High School Department
S.Y. 2018-2019
GRADE 10 – MATHEMATICS
FOURTH QUARTER EXAMINATION
March 7 - 8
Identify what is being asked, write your answers in a clean sheet of ½ lengthwise paper. WRITE CAPITAL LETTERS
ONLY. ERASURE AND SUPERIMPOSITION will be marked as WRONG.
1.The formula
𝑛!
( 𝑛−𝑟)!
is for the ____________ of n objects taken r at a time.
A. Distinguishable PermutationB. Circular Permutation C. Permutation D. Combination
2. It focuses on the selection of objects without regard to the order in which they are selected.
A. Distinguishable PermutationB. Circular Permutation C. Permutation D. Combination
3. It is the set of all outcomes in an experiment.
A. Experiment B. Compound Event C. Sample Space D. Simple Event
4. It is an event which consists of more than one outcome.
A. Experiment B. Compound Event C. Sample Space D. Simple Event
5. It is the measure of the likelihood that an event will occur.
A. Fundamental Counting Principle B. Probability C. Outcome D. Factorial
6. It is any events which consist of a single outcome in the sample space.
A. Experiment B. Compound Event C. Sample Space D. Simple Event
7. It states that if one event has m possible outcomes and a second event has n possible outcomes, then there are m times n
total possible outcomes for the two events together.
A. Fundamental Counting Principle B. Probability C. Outcome D. Factorial
8. These are the activities such as rolling a die, tossing a coin, or randomly choosing a ball from a box which could be
repeated over and over again, and which have well-defined results.
A. Experiment B. Compound Event C. Sample Space D. Simple Event
9. It focuses on the arrangement of objects with regard to the order in which they are arranged.
A. Distinguishable Permutation B. Circular Permutation C. Permutation D. Combination
10. The formula
𝑛!
𝑟!( 𝑛−𝑟)!
is for the ____________ of n objects taken r at a time.
A. Distinguishable Permutation B. Circular Permutation C. Permutation D. Combination
For numbers 11-12, five couples want to have their pictures taken. In how many ways can they arrange themselves in a
row if
11. Couples must stay together?
A. 3628800 B. 24 C. 240 D. 720
12. They may stand anywhere?
A. 3628800 B. 24 C. 240 D. 720
13. Supposed you secured your bike using a combination lock. Later,you realized that you
forgot the 4-digit code. You only remembered that the code contains the digits 1, 3, 4 and 7. How many possible codes are
there?
A. 3628800 B. 24 C. 240 D. 720
14. Ten runners join a race. In how many possible ways can they be arranged as first, second and third place?
A. 3628800 B. 24 C. 240 D. 720
15. In a certain general assembly, three major prizes are a stake. In how many ways can the first, second and third prizes
be drawn from a box containing 120 names?
A. 315 B. 1680 C. 1685040 D. 360
16. In how many ways can 5 people be seated around a circular table?
A. 210 B. 70 C. 504 D. 24
17. Mrs. Rivera’s business is gown rental and sale. She decided one day that she would display her 10 newest gowns in
her shop’s window to attract customers. If she only had 5 mannequins and planned to change the set of gowns every 2
days, how many days will have to pass before she runs out of a new set to display?
A. 210 B. 70 C. 504 D. 24
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2. 18. In a 10-item Mathematics problem-solving test,how many ways can you select 5 problems to solve?
A. 15120 B. 252 C. 5 040 D. 968
19. Find the number of permutations of the letters of the word STATISTICS.
A. 15120 B. 15120 C. 5 040 D. 968
20. If there are 12 teams in a basketball tournament and each team must play every other team in the eliminations, how
many elimination games there will be?
A. 3150 B. 126 C. 66 D. 2598960
For numbers 21 – 35: A survey was conducted to 100 Mobile Legend players about their opinion on the best marksman
hero, it was found out that; 35 chose Claude, 24 chose Lesley, 30 chose Layla, 18 chose Claude and
Lesley, 11 chose Lesley and Layla, 15 chose Claude and Layla, 10 chose all the three heroes
21. How many players chose Claude only?
A. 5 B. 14 C.35 D. 12
22. If a player is selected at random, what is the probability of selecting a player who chose Claude only?
A. 12% B. 14 % C. 5% D. 35%
23. How many players chose Layla only?
A. 5 B. 14 C.35 D.12
24. If a player is selected at random, what is the probability of selecting a player who chose Layla only?
A. 12% B. 14 % C. 5% D. 35%
25. How many players chose Lesley only?
A. 14 B. 35 C.12 D. 5
26. If a player is selected at random, what is the probability of selecting a player who chose Lesley only?
A. 12% B. 14 % C. 5% D. 35%
27. How many players chose Claude?
A. 12 B. 35 C.5 D. 14
28. If a player is selected at random, what is the probability of selecting a player who chose Claude?
A. 12% B. 14 % C. 5% D. 35%
29. How many players chose atleast 2 heroes?
A. 24 B. 45 C. 14 D. 100
30. If a player is selected at random, what is the probability of selecting a player who chose atleast 2 heroes?
A. 55% B. 45% C. 24% D. 14%
31. How many players chose exactly one hero?
A. 24 B. 45 C. 14 D. 100
32. If a player is selected at random, what is the probability of selecting a player who chose Claude?
A. 55% B. 45% C. 24% D. 14%
33.How many players did not choose any of these heroes?
A. 24 B. 45 C. 14 D. 100
34. If a player is selected at random, what is the probability of selecting a player who did not choose any of these heroes?
A. 55% B. 45% C. 24% D. 14%
35. If a player is selected at random, what is the probability of selecting a player who chose at most 2 heroes?
A. 55% B. 45% C. 24% D. 14%
For numbers 36-50. A survey was conducted with 50 students on the ice cream they like. It was found out that 28 like
chocolate, 15 like mango, and 20 like strawberry. Furthermore,8 like chocolate and strawberry,11 like mango and
strawberry,and 7 like chocolate and mango and 4 like all the flavors.
36. How many like strawberry only?
A. 17 B. 5 C. 20 D. 1
37. If a student is selected at random, what is the probability of selecting a student who chose strawberry only?
A. 10% B. 40% C. 2% D. 34%
38. How many chose Mango only?
A. 17 B. 5 C. 20 D. 1
39. If a student is selected at random, what is the probability of selecting a student who chose Mango only?
A. 10% B. 40% C. 2% D. 34%
40. How many chose Chocolate only?
A. 17 B. 5 C. 20 D. 1
41. If a student is selected at random, what is the probability of selecting a student who chose Chocolate only?
A. 10% B. 40% C. 2% D. 34%
42. How many chose strawberry?
A. 17 B. 5 C. 20 D. 1
43. If a student is selected at random, what is the probability of selecting a student who chose Strawberry?
A. 10% B. 40% C. 2% D. 34%
44. How many chose atleast 2 flavors?
A. 18 B. 50 C. 9 D. 23
45. If a student is selected at random, what is the probability of selecting a student who chose atleast 2 flavors?
A. 74% B. 18% C.46% D. 36%
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3. 46. How many did not choose any of these flavors?
A. 18 B. 50 C. 9 D. 23
47. If a student is selected at random, what is the probability of selecting a student who did not choose any of these
flavors?
A. 74% B. 18% C.46% D. 36%
48. How many chose exactly one of the flavors?
A. 18 B. 50 C. 9 D. 23
49. If a student is selected at random, what is the probability of selecting a student who chose exactly one flavor?
A. 74% B. 18% C.46% D. 36%
50. If a student is selected at random, what is the probability of selecting a student who chose at most 2 flavors?
A. 74% B. 18% C.46% D. 36%
Bonus points: Write down your own Math Hugot or Math punch line at the back of your paper.
Prepared by: Checked By: Noted:
RAMIL J. MERCULIO REA R. GARCIA SHERYLL B. DUQUE
Teacher I – Mathematics Math Leader Head Teacher I
JOVENCIO R. DELA CRUZJR.
Teacher I - Mathematics
Approved:
RODELIO D. QUIAMBAO CHRISTOPHERD. ESTEBAN Ph. D.
Assistant Principal II Principal I
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