This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 7 Permutations And Combinations – Quiz 16 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 16 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the total number of ways to choose 3 toppings from a selection of 8 for a pizza? A) 36. B) 72. C) 56. D) 48. Show Answer Correct Answer: C) 56. 2. A team of 8 players is to be chosen from 6 girls and 8 boys. Find the number of different ways the team may be chosen if at least 1 girl is on the team. A) 5005. B) 1287. C) 3002. D) 4004. Show Answer Correct Answer: C) 3002. 3. What is the definition of probability? A) A way in which a set or number of things can be ordered or arranged. B) A selection of items from a collection. C) Chances of a specific event happening out of all possible events. D) The sum of 9 + 10. Show Answer Correct Answer: C) Chances of a specific event happening out of all possible events. 4. How many 3-digit numbers can be formed without using the digits 0, 2, 3, 4, 5 and 6? A) 64. B) 60. C) 120. D) 128. Show Answer Correct Answer: A) 64. 5. How many ways can you choose 4 ice cream flavours from a selection of 10? A) 210. B) 5040. C) 120. D) 252. Show Answer Correct Answer: D) 252. 6. You have DVD collection with 20 DVDs. You can only take five DVDs with you on vacation. How many different sets of five DVDs can you take? A) 15504. B) 20!. C) 5!. D) $\frac{5}{20}=0.25$. Show Answer Correct Answer: A) 15504. 7. A selection of objects in which order is not important is call a ..... A) Permuation. B) Combination. C) Factoria. D) Probability. Show Answer Correct Answer: B) Combination. 8. Permutation, combination, or neither?Selecting which players will play on an 11 person team. A) Permutation. B) Combination. C) Neither. D) None of the above. Show Answer Correct Answer: B) Combination. 9. If Sarah owns 11 hoodies, how many ways can she choose four to bring on vacation? A) 44. B) 7920. C) 330. D) 121. Show Answer Correct Answer: C) 330. 10. Solve the following combination:A group of 20 people are going to run a race. The top 9 finishers advance to the finals. A) 83980. B) 819782656. C) 167960. D) 335920. Show Answer Correct Answer: C) 167960. 11. A password consists of 3 letters followed by 2 digits. How many different passwords can be created if repetition is allowed? A) 676, 000. B) 1, 757, 600. C) 1, 000, 000. D) 1, 757, 600. Show Answer Correct Answer: B) 1, 757, 600. 12. How many unique ways can you flip a coin, roll a die, and spin a five-sectioned spinner? A) 3. B) 13. C) 30. D) 60. Show Answer Correct Answer: D) 60. 13. There are 110 people at a meeting. They each shake hands with everyone else. How many handshakes are there? A) 5995. B) 6050. C) 6000. D) 6055. Show Answer Correct Answer: A) 5995. 14. If all the letters of the word ' AGAIN' be arranged as in a dictionary, what is the the 49 th word? A) NIAAG. B) NAIAG. C) NAAIG. D) NAAGI. Show Answer Correct Answer: D) NAAGI. 15. $^{20}$P$_{2}$ A) 20. B) 380. C) 6840. D) 116280. Show Answer Correct Answer: B) 380. 16. 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. 17. The number of possible outcomes when a coin is tossed 6 times is A) 36. B) 64. C) 12. D) 32. Show Answer Correct Answer: B) 64. 18. 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. 19. There are 6 people interviewing for 4 cashier positions at Gamestop. How many ways can these 4 positions be filled? A) 0. B) 360. C) 15. D) 24. Show Answer Correct Answer: C) 15. 20. 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) 84. B) 504. C) 9!. D) 3!. Show Answer Correct Answer: B) 504. 21. $_8C_3$ A) 24. B) 6720. C) 336. D) 56. Show Answer Correct Answer: D) 56. 22. 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) $\frac{1}{3}$. 23. 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. 24. 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. 25. If Lucas owns 11 hoodies, how many ways can he choose four to bring on vacation? A) 44. B) 7920. C) 330. D) 121. Show Answer Correct Answer: C) 330. ← PreviousNext →Related 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 7Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 8Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 9Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 10 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books