This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 7 Permutations And Combinations – Quiz 7 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 7 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If all the letters of the word ' AGAIN' be arranged as in a dictionary, what is the the 49 th word? A) NAIAG. B) NAAIG. C) NIAAG. D) NAAGI. Show Answer Correct Answer: D) NAAGI. 2. Identify the type of situation:Choosing team captains for a football team. A) Combination. B) Permutation. C) All the above. D) None of the above. Show Answer Correct Answer: A) Combination. 3. The number of possible outcomes when a coin is tossed 6 times is A) 32. B) 64. C) 12. D) 36. Show Answer Correct Answer: B) 64. 4. A family of six members won two tickets to the theatre in a tombola. In how many ways can they choose who will go? A) 30 ways. B) 15 ways. C) 36 ways. D) 360 ways. E) None of these. Show Answer Correct Answer: B) 15 ways. 5. There are 6 people interviewing for 4 cashier positions at Gamestop. How many ways can these 4 positions be filled? A) 15. B) 0. C) 360. D) 24. Show Answer Correct Answer: A) 15. 6. A DJ has to choose three songs for the last few minutes of his evening show. If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs? A) 3!. B) 504. C) 9!. D) 84. Show Answer Correct Answer: B) 504. 7. What is the probability of randomly arranging the letters in the word "DEED" such that the two E's are next to each other? A) $\frac{1}{3}$. B) 31 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\frac{1}{3}$. 8. Permutation, combination, or neither?5 out of 13 students need to ride in a car instead of a van. A) Permutation. B) Combination. C) Neither. D) None of the above. Show Answer Correct Answer: B) Combination. 9. Is the order of arrangement important?A group of nine people consists of three girls, five boys and a man. The nine people are seated randomly in a row. Find number of ways if the three girls are seated together. A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 10. If Lucas owns 11 hoodies, how many ways can he choose four to bring on vacation? A) 330. B) 121. C) 7920. D) 44. Show Answer Correct Answer: A) 330. 11. What is the value of 5 * 4 * 3? A) 100. B) 80. C) 40. D) 60. Show Answer Correct Answer: D) 60. 12. What is 4! called? A) Four Factorial. B) Fabulous Four. C) Four Factored. D) Final Four. Show Answer Correct Answer: A) Four Factorial. 13. The letters A, B, C, and D are used to form four-letter passwords for entering a computer file. How many passwords are possible if letters can be repeated? A) 4 + 4 + 4 + 4 = 16. B) 4 x 4 x 4 x 4 = 256. C) 4 + 3 + 2 + 1 = 10. D) 4 x 3 x 2 x 1 = 24. Show Answer Correct Answer: B) 4 x 4 x 4 x 4 = 256. 14. A team of 6 players is to be chosen from 8 men and 4 women. Find the number of different ways this can be done if there is at least one woman in the team. A) 495. B) 1260. C) 924. D) 896. Show Answer Correct Answer: D) 896. 15. What is P(9, 4)? A) 362880. B) 126. C) 3024. D) 36. Show Answer Correct Answer: C) 3024. 16. From among the 50 teachers in a school, one principal and two vice principals are to be appointed.In how mny ways can this be done? A) 11789. B) 11760. C) 117780. D) 117600. Show Answer Correct Answer: D) 117600. 17. In a race with 8 participants, how many ways can the gold, silver, and bronze medals be awarded? A) 336. B) 24. C) 512. D) 56. Show Answer Correct Answer: A) 336. 18. How many ways ways can you arrange the letters in the word KABABAYAN? A) 524. B) 7560. C) 240. D) None of the above. Show Answer Correct Answer: B) 7560. 19. If a club consists of 10 members, how many different arrangements of president, vice president, and secretary are possible? A) 13. B) 120. C) 30. D) 720. Show Answer Correct Answer: D) 720. 20. Runners finishing 1st, 2nd, and 3rd in a race. A) Permutation. B) Combination. C) All the above. D) None of the above. Show Answer Correct Answer: A) Permutation. 21. 12 racers in a race, and there is a first, second and third. How many ways can the results end up. A) 220. B) 1, 320. C) 27. D) 79, 833, 600. Show Answer Correct Answer: B) 1, 320. 22. How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed? A) 40. B) 400. C) 5040. D) 2520. Show Answer Correct Answer: C) 5040. 23. A pizza shop offers 5 toppings. How many different pizzas can be made with exactly 3 toppings? A) 120. B) 10. C) 60. D) 20. Show Answer Correct Answer: B) 10. 24. A choir consisting of 5 singers is to be selected from 6 girls and 4 boys.Calculate the number of ways of selecting the choir if the choir consists of exactly 3 girls. A) 144. B) 12. C) 120. D) 2400. Show Answer Correct Answer: C) 120. 25. How many different arrangements can be made from MATH? A) 6. B) 0. C) 10. D) 24. Show Answer Correct Answer: D) 24. 26. If nC2=28, then what is the value of n? A) 8. B) 5. C) 6. D) 7. Show Answer Correct Answer: A) 8. 27. Suppose you pay $ 1.00 to roll a fair die with the understanding you will get $ 3.00 back rolling a 4 or a 2, and nothing otherwise. Is this a fair game? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 28. The model of car you are thinking of purchasing is available in nine different colors, three different styles and two sizes of motor. How many ways can you order the car?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: B) Counting Principle-there are different categories to pick from. 29. What is the formula for permutation? A) $\frac{n!}{\left(n-r\right)!}$. B) $\frac{n!}{r!\left(n-r\right)!}$. C) $n!\left(n-r\right)!$. D) $\frac{\left(n-r\right)!}{n!}$. Show Answer Correct Answer: A) $\frac{n!}{\left(n-r\right)!}$. 30. "The batting order for eight players on a 10 person team" . Is this a permutation, combination, or neither? A) Neither. B) Permutation. C) Combination. D) None of the above. Show Answer Correct Answer: B) Permutation. 31. Differentiate between permutations and combinations. A) Permutations consider order, combinations do not. B) Combinations consider order, permutations do not. C) Both consider order. D) Neither consider order. Show Answer Correct Answer: A) Permutations consider order, combinations do not. 32. From a group of 8 snails and 6 slugs, a group of mollusks is formed. How many different groups can be formed if the group must consist of 3 snails and 2 slugs? A) $840$. B) 840 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $840$. 33. How many ways ways can you arrange the letters in the word math? A) 24. B) 15. C) 4. D) 48. Show Answer Correct Answer: A) 24. 34. Permutation, combination, or neither?There are 45 applicants for three Computer Programmer job positions. A) Combination. B) Permutation. C) Neither. D) None of the above. Show Answer Correct Answer: A) Combination. 35. What is the formula for combinations? A) $\frac{n!}{\left(n-r\right)!}$. B) $\frac{n!}{r\left(n-r\right)!}$. C) $\frac{n!}{r!\left(n-r\right)!}$. D) $\frac{n!}{\left(n-r\right)}$. Show Answer Correct Answer: C) $\frac{n!}{r!\left(n-r\right)!}$. 36. What is the definition of Permutation? A) Reoccurring Numbers. B) A way in which a set or number of things can be ordered or arranged. C) To be or not to be?. D) Mr. Burns. Show Answer Correct Answer: B) A way in which a set or number of things can be ordered or arranged. 37. How many ways can a Mathematics team of 4 people be chosen from a training group of 4 boys and 3 girls if there are exactly 2 boys and 2 girls on the team? A) 24. B) 144. C) 35. D) 18. Show Answer Correct Answer: D) 18. 38. Evaluate $_{12}$C$_{4}$ A) 495. B) 40, 320. C) 479, 001, 600. D) 11, 880. Show Answer Correct Answer: A) 495. 39. How many new 3-digit combinations can you make using these 0-9 (all ten digits) digits, if no digit can be repeated? A) $120$. B) $1$. C) $1000$. D) $720$. Show Answer Correct Answer: D) $720$. 40. If 2.P(5, 3) = P(n, 4), find n. A) 6. B) 5. C) 4. D) 1. Show Answer Correct Answer: B) 5. 41. Castel and Joe are planning trips to three countries this year. There are 7 countries they would like to visit. A) Combination. B) Permutation. C) All the above. D) None of the above. Show Answer Correct Answer: A) Combination. 42. Permutation, combination, or neither?The batting order for seven players on a 12 person team. A) Combination. B) Permutation. C) Neither. D) None of the above. Show Answer Correct Answer: B) Permutation. 43. A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection? A) 8!. B) $\frac{8}{40}=0.2$. C) 76904685. D) 40!. Show Answer Correct Answer: C) 76904685. 44. There are 10 boys and 15 girls in a class. How many ways can the teacher choose a committee of 5? A) $10C_5$. B) $25P_5$. C) $25C_5$. D) $10P_5$. Show Answer Correct Answer: C) $25C_5$. 45. How many different, even 5-digit numbers less than 60000 can be formed using the digits 1, 2, 4, 5, 7, and 9 if no digit is repeated? A) 4800. B) 144. C) 240. D) 3600. Show Answer Correct Answer: B) 144. 46. If you can choose 2 out of 5 different ice cream flavors, how many combinations can you make? A) 5. B) 10. C) 20. D) 15. Show Answer Correct Answer: B) 10. 47. Benedict has 12 schools to visit this week. In how many different ways can she pick the first, second, and third school to visit on Monday? A) 14520. B) 1320. C) 120. D) 12. Show Answer Correct Answer: B) 1320. 48. A team of 5 people to be selected out of 4 women and 7 men. In how many different ways this can be done if the team must have 2 women? A) 210. B) 6. C) 331. D) 35. Show Answer Correct Answer: A) 210. 49. Find the value of sin(-330$^\circ$). A) $\frac{1}{4}$. B) $\frac{1}{2}$. C) $\frac{1}{3}$. D) -1. Show Answer Correct Answer: B) $\frac{1}{2}$. 50. How many ways can a coach choose 3 players out of a team of 17 softball players to refill the water cooler? A) 680. B) 51. C) 2, 049. D) 4, 080. Show Answer Correct Answer: A) 680. 51. What is the value of 7P3 (permutations of 7 taken 3 at a time)? A) 120. B) 42. C) 210. D) 504. Show Answer Correct Answer: C) 210. 52. Eight red balls and four blue balls are in a bag. If four balls from the bag are to be selected at random, determine the probability of selecting four red balls. A) 85/99. B) 14/99. C) 2/3. D) 0. Show Answer Correct Answer: B) 14/99. 53. Ten marching bands qualified for finals. If their performance order is random, how many ways can the final four performances be listed? A) 40. B) 5, 040. C) 24. D) 720. Show Answer Correct Answer: B) 5, 040. 54. A team of 7 people is to be chosen from 5 women and 7 men. Calculate the number of different ways in which this can be done if the team is to contain more women than men. A) 792. B) 210. C) 420. D) 196. Show Answer Correct Answer: D) 196. 55. Provide an example where you would use combinations in real life. A) Selecting 2 toppings from a list of 5 for a pizza. B) Picking 4 colors from a palette of 8. C) Choosing 5 books from a shelf of 15. D) Choosing 3 members from a group of 10 people. Show Answer Correct Answer: D) Choosing 3 members from a group of 10 people. 56. Among the seven nominees for two vacancies on the city council are three men and four women. In how many ways may these vacancies be filled with any two of the nominees? A) 12. B) 42. C) 21. D) 7. Show Answer Correct Answer: C) 21. 57. Brianna's school day consists of six classes. How many different ways can her schedule be arranged? A) 100. B) 500. C) 36. D) 720. Show Answer Correct Answer: D) 720. 58. In an examination, a student has to answer 4 questions out of 5 questions; questions 1 and 2 are however compulsory. The number of ways in which the student can make the choice are A) 4!. B) 3. C) 1. D) 3!. Show Answer Correct Answer: B) 3. 59. There are 14 candy bars for sale. How many ways can Andy choose five of them? A) 87178291200. B) 240240. C) 2002. D) 70. Show Answer Correct Answer: C) 2002. 60. At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. Each pizza can only have 1 meat, 1 cheese, 1 crust, and 1 sauce. How many different pizzas do you have to choose from? A) 32. B) 192. C) 51, 200. D) 40, 320. Show Answer Correct Answer: B) 192. ← 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 4Class 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 8Class 11 Mathematics Chapter 1 Sets Quiz 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books