This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 7 Permutations And Combinations – Quiz 4 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 4 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. There are 15 racers running a race. There are medals for the first three racers to cross the finish line. How many ways are there to award medals to the first three racers? A) $\frac{3}{15}=0.2$. B) 15!. C) 2730. D) 3!. Show Answer Correct Answer: C) 2730. 2. What does $10_{P_5}$ A) Permutations with 5 choices and 10 positions. B) Permutations with 5 numbers and 10 operations. C) Permutations with 5 sandwiches and 10 milo drinks. D) Permutations with 10 models and 5 sitting chairs. Show Answer Correct Answer: D) Permutations with 10 models and 5 sitting chairs. 3. From a group of 8 women and 6 men, a committee of 5 people is to be formed. How many different committees can be formed if the committee must consist of 3 women and 2 men? A) $560$. B) 560 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $560$. 4. You are taking a survey on your experience at Taco Bell. For the first five questions you can answer Below Average, Average, or Above Average for each question. The last three questions you can respond with either Agree or Disagree. How many total outcomes are there for this survey? A) 1944. B) 1125. C) 15. D) 8. Show Answer Correct Answer: A) 1944. 5. Use your calculator.Find the value of $12!\div6!$ A) 40, 320. B) 720. C) 5, 280. D) 665, 280. Show Answer Correct Answer: D) 665, 280. 6. The student body of 10 students wants to elect a president, vice president, secretary, and treasurer. A) Permutation. B) Combination. C) All the above. D) None of the above. Show Answer Correct Answer: A) Permutation. 7. Jane needs to make a four-letter password. If the first letter has to be a vowel, how many possibilities are there to choose from? A) 87880. B) 160. C) 456976. D) 104. Show Answer Correct Answer: A) 87880. 8. How many different 3-digit PIN codes can be formed using the digits 0-9 if repetition is allowed? A) 1000. B) 100. C) 900. D) 10. Show Answer Correct Answer: A) 1000. 9. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? A) 1050. B) 21400. C) 25200. D) 210. Show Answer Correct Answer: C) 25200. 10. List the possible outcomes in the sample space for flipping a coin. A) Heads. B) Tails. C) Heads and tails. D) 1, 2, 3, 4, 5, 6. Show Answer Correct Answer: C) Heads and tails. 11. What is the value of 4! / (4-2)! * 2!? A) 48. B) 24. C) 6. D) 12. Show Answer Correct Answer: B) 24. 12. What does the P stand for in $_{n}$P$_{r}$? A) Papers. B) Partners. C) Positions. D) Permutations. Show Answer Correct Answer: D) Permutations. 13. What is the value of 4C2? A) 2. B) 12. C) 8. D) 6. Show Answer Correct Answer: D) 6. 14. The ski club with ten members is to choose three officers for captain, co-captain and secretary. How many ways can those offices be filled? A) 720. B) 120. C) 10!. D) None of the above. Show Answer Correct Answer: A) 720. 15. A group of 45 students are going to run a race. The top 3 runners earn gold, silver, and bronze medals. How many possibilities are there for these medals? A) 170, 900. B) 14, 190. C) 28, 700. D) 85, 140. Show Answer Correct Answer: D) 85, 140. 16. Michael is going to order his wife a bouquet for their anniversary. If Michael can choose 5 different flowers from a list of 8, how many bouquets are possible? A) 40. B) 40, 320. C) 6, 720. D) 56. Show Answer Correct Answer: D) 56. 17. If you have 12 different books and want to select 5 to take on vacation, how many combinations can you choose? A) 480. B) 792. C) 600. D) 1024. Show Answer Correct Answer: B) 792. 18. In a Permutation, Order Matters. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 19. The number of outfits you can make from 3 shorts and 5 shirts. A) Permutation. B) Combination. C) Neither. D) None of the above. Show Answer Correct Answer: C) Neither. 20. How would you solve?There are 125 juniors at the high school. How many ways can they elect a president, vice president, and secretary? A) Permutation. B) Factorial. C) Combination. D) Counting Principles. Show Answer Correct Answer: A) Permutation. 21. A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered? A) 270. B) 17. C) 90. D) 30. Show Answer Correct Answer: A) 270. 22. Permutation or Combination:A group of 14 people need to take an elevator to the top floor. They will go in groups of seven. They are deciding who will take the elevator on its second trip. A) Permutation. B) Combination. C) All the above. D) None of the above. Show Answer Correct Answer: B) Combination. 23. There are 10 buses running between Delhi and Agra. In how many ways can a man go from Delhi to Agra and return by a different bus? A) 100. B) 90. C) 10. D) None of these. Show Answer Correct Answer: B) 90. 24. Evaluate $_{7}$C$_{7}$ A) 7. B) 49. C) 5040. D) 1. Show Answer Correct Answer: D) 1. 25. Find the number of ways of arranging 6 different encyclopedias on a shelf A) 6!. B) 5!. C) 8!. D) 7!. Show Answer Correct Answer: A) 6!. 26. Permutation, combination, or neither?Rob and Mary are planning trips to 9 countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip. A) Combination. B) Permutation. C) Neither. D) None of the above. Show Answer Correct Answer: A) Combination. 27. Choosing 3 toppings for your sundae out of a list of 15. A) Permutation. B) Combination. C) Neither. D) None of the above. Show Answer Correct Answer: B) Combination. 28. How many ways can a stylist arrange 5 of 8 vases from left to right in a store display? A) 672. B) 40. C) 6720. D) None of the above. Show Answer Correct Answer: C) 6720. 29. Is the order of arrangement important?A team of 17 volleyball players needs to select three players to refill the water cooler. How many different ways can the players be chosen? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 30. There are 15 applicants for four jobs:Computer Programmer, Software Tester, Manager, and Systems Engineer. A) Combination. B) Permutation. C) All the above. D) None of the above. Show Answer Correct Answer: B) Permutation. 31. When would you use permutation instead of combination? A) When the selection is random. B) When the items are identical. C) When the total count is fixed. D) When the order of selection matters. Show Answer Correct Answer: D) When the order of selection matters. 32. You have a coupon for a free 3-topping pizza. If there are 15 total topping to choose from, how many different pizzas are possible? A) Permutation. B) Combination. C) All the above. D) None of the above. Show Answer Correct Answer: B) Combination. 33. Find the number of possibilities:A team of 17 softball players needs to choose three players to refill the water cooler. A) 272. B) 4080. C) 680. D) None of the above. Show Answer Correct Answer: C) 680. 34. Four names will chosen randomly from a list of twenty entries to be in a group that travels to Europe. How many unique possibilities are there? A) 80. B) 160, 000. C) 116, 280. D) 4, 845. Show Answer Correct Answer: C) 116, 280. 35. If the different permutations of the word 'EXAMINATION' are listed in a dictionary, how many items are there in the list before the first word starting with E? A) 907002. B) 907200. C) 907100. D) 907300. Show Answer Correct Answer: B) 907200. 36. Ambry must submit 4 paintings as part of herapplication to art school. If she has 25 to choose from, how many ways can she pick 4? A) 100. B) 254. C) 303, 600. D) 12, 650. Show Answer Correct Answer: D) 12, 650. 37. How many ways can you line up your eight trophies that you've won over the years on a shelf in your room?Is this a factorial problem or a counting principle problem? A) Factorial-there are a group of objects that need to be put in order. B) Counting Principle-there are different categories to pick from. C) All the above. D) None of the above. Show Answer Correct Answer: A) Factorial-there are a group of objects that need to be put in order. 38. You are asked to list, in order of preference, your top 3 movies of the year. You saw 14 movies. How many ways can your top movies be arranged? A) $0$. B) $364$. C) $42$. D) $2184$. Show Answer Correct Answer: D) $2184$. 39. Solve the following permutation:Kayla and Chelsea are planning trips to three countries this year. There are 5 countries they would like to visit. One trip will be one week long, another two days, and the other two weeks. A) 85. B) 80. C) 60. D) 10. Show Answer Correct Answer: C) 60. 40. In how many ways can the word TITLE be arranged in such a way that all vowels come together? A) 36. B) 24. C) 48. D) 60. Show Answer Correct Answer: B) 24. 41. If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed? A) 175760. B) 123880. C) 675433. D) 345078. Show Answer Correct Answer: A) 175760. 42. How many ways can you make a 3-letter arrangements out of the letters in the wordTRAPEZOID. A) Permutation. B) Combination. C) All the above. D) None of the above. Show Answer Correct Answer: A) Permutation. 43. In the permutation formula 4P2, what does the 'P' represent? A) Power. B) Plus. C) Product. D) Permutation. Show Answer Correct Answer: D) Permutation. 44. There are 720 different 5-digit numbers that can be formed using the digits 1, 2, 3, 5, 7, and 8, if each digit may be used only once in any number. How many of these 5-digit numbers are even and greater than 30000? A) 240. B) 300. C) 168. D) 360. Show Answer Correct Answer: C) 168. 45. There are 110 people at a meeting. They each shake hands with everyone else. How many handshakes were there? A) Permutation. B) Combination. C) All the above. D) None of the above. Show Answer Correct Answer: B) Combination. 46. When does the order in which you are choose matter? A) Combination. B) Permutation. C) All the above. D) None of the above. Show Answer Correct Answer: B) Permutation. 47. Identify the type of situation:Choosing 3 different pizza toppings from a list of 12. A) Combination. B) Permutation. C) All the above. D) None of the above. Show Answer Correct Answer: A) Combination. 48. What does $_{10}$C$_{5 }$mean? A) Combinations with 5 choices and 10 positions. B) Combinations with 10 choices and 5 positions. C) Permutations with 5 numbers and 10 operations. D) Permutations with 5 hot dogs and 10 drinks. Show Answer Correct Answer: B) Combinations with 10 choices and 5 positions. 49. How many ways can you arrange the letters in the word "CAT" ? A) 9. B) 3. C) 6. D) 12. Show Answer Correct Answer: C) 6. 50. What is the value of 4C2 * 2!? A) 48. B) 36. C) 24. D) 12. Show Answer Correct Answer: C) 24. 51. There are 45 applicants for three Computer Programmer positions. Is this a permutation or a combination? A) Permutation. B) Combination. C) Neither. D) Both. Show Answer Correct Answer: A) Permutation. 52. Willy runs a small company with 10 employees. He decides to pick a simple random sample of three employees to go on a business trip. He numbers them 0-9 and uses the random digit table below to select the sample. Which employees are in the sample? 67197 28310 90341 A) 67, 19, 72, 83, 10. B) 6, 7, 1. C) 67, 19, 72. D) 6, 7, 1, 9. Show Answer Correct Answer: B) 6, 7, 1. 53. Picking a President, Vice-President, and Secretary from a group of 12. A) Permutation. B) Combination. C) Neither. D) None of the above. Show Answer Correct Answer: A) Permutation. 54. Solve the following permutation:Jacob and Eugene are planning trips to four countries this year. There are 14 countries they would like to visit. One trip will be one week long, another two days, another two weeks, and the other a month. A) 1001. B) 20876. C) 4804. D) 24024. Show Answer Correct Answer: D) 24024. 55. Selecting which seven players will be in the batting order on an 11 person team. Is this a permutation or a combination? A) Permutation1, 663, 200. B) Combination330. C) Neither. D) Both. Show Answer Correct Answer: A) Permutation1, 663, 200. 56. The number of 6-digit numbers, all digits of which are odd is ..... A) $6!$. B) $6^5$. C) $5^6$. D) $9_{P_6}$. Show Answer Correct Answer: C) $5^6$. 57. How many 3-digit numbers are there whose digits are all prime numbers? A) 125. B) 64. C) 81. D) 243. E) None of these. Show Answer Correct Answer: B) 64. 58. What is the probability of getting exactly two heads in four flips of a fair coin? A) $\frac{1}{2}$. B) $\frac{3}{8}$. C) $\frac{6}{16}$. D) $\frac{1}{4}$. Show Answer Correct Answer: B) $\frac{3}{8}$. 59. Student council needs to form a group of 5 members to help with a blood drive. How many groups can be formed from the 20 members? A) Permutation. B) Combination. C) All the above. D) None of the above. Show Answer Correct Answer: B) Combination. 60. If a team of 4 players is to be chosen from a group of 8 players, how many different teams can be formed? A) 24. B) 56. C) 32. D) 70. Show Answer Correct Answer: D) 70. ← PreviousNext →Related QuizzesScience QuizzesClass 11 QuizzesClass 11 Mathematics Chapter 7 Permutations And Combinations Quiz 1Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 2Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 3Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 5Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 6Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 7Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 8Class 11 Mathematics Chapter 1 Sets Quiz 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books