This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 7 Permutations And Combinations – Quiz 6 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 6 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. When you select a number of items from a larger group of items in and the order is important you are selecting a A) Combination. B) Permutation. C) All the above. D) None of the above. Show Answer Correct Answer: B) Permutation. 2. A group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals. Is this a permutation or a combination? A) Permutation85, 140. B) Combination14, 190. C) Neither. D) Both. Show Answer Correct Answer: A) Permutation85, 140. 3. There were 8 students running in a race. How many different arrangements of first, second, and third place are possible? A) Permutation. B) Combination. C) All the above. D) None of the above. Show Answer Correct Answer: A) Permutation. 4. Rylan's basketball team has 11 players. How many ways can his coach choose five starting players? Positions do not matter A) 462. B) 55440. C) 55. D) 1000. Show Answer Correct Answer: A) 462. 5. There are 8 different actors auditioning for the roles of Larry, Curly, and Moe. How many ways can the roles me cast? A) Permutation. B) Combination. C) All the above. D) None of the above. Show Answer Correct Answer: A) Permutation. 6. Seven bands have volunteered to perform at a benefit concert, but there is only enough time for four of the bands to play. How many lineups are possible? A) 28. B) 35. C) 840. D) 5040. Show Answer Correct Answer: C) 840. 7. How many 5-digit (numerical) passwords are possible for the school email system if the first digit cannot be 0 and repetition is NOT allowed. A) 11, 424, 400. B) 10, 967, 424. C) 27, 216. D) 90, 000. Show Answer Correct Answer: C) 27, 216. 8. Expand 6! A) 6+5+4+3+2+1. B) 6$^{.}$5$^{.}$4$^{.}$3$^{.}$2$^{.}$1. C) 4+5+6+7+8+9. D) 6. Show Answer Correct Answer: B) 6$^{.}$5$^{.}$4$^{.}$3$^{.}$2$^{.}$1. 9. A group of 25 people are going to run a race. The top 8 finishers advance to the finals. Is this a permutation or a combination? A) Permutation. B) Combination. C) Neither. D) Both. Show Answer Correct Answer: B) Combination. 10. There are 18 people running in a cross country race. The top 3 move on to the state finals. How many possible groups could move on? A) 324. B) 4896. C) 816. D) 54. Show Answer Correct Answer: C) 816. 11. How many ways can you arrange the letters of the word "BANANA" ? A) 30. B) 60. C) 90. D) 120. Show Answer Correct Answer: A) 30. 12. Rob and Mary are planning trips to nine countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip. A) Permutation. B) Combination. C) All the above. D) None of the above. Show Answer Correct Answer: B) Combination. 13. Eva has eight glasses of water. In how many different orders can the glasses of water be arranged? A) 8. B) 64. C) 8!. D) 56. Show Answer Correct Answer: C) 8!. 14. There are 12 kinds of Girl Scout cookies for sale. How many ways can Rachel choose three different kinds to buy? A) 220. B) 36. C) 1320. D) 100. Show Answer Correct Answer: A) 220. 15. In how many ways can a committee of 3 members be selected from a group of 10 people? A) $210$. B) 210 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $210$. 16. How many ways can 13 students line up for lunch? A) Permutation. B) Combination. C) All the above. D) None of the above. Show Answer Correct Answer: A) Permutation. 17. In a train yard, there are 4 tank cars, 12 boxcars, and 7. flatcars. Ho many ways can a train be made up consisting of 2 tank cars, 5 boxcars, and 3 flat cars? (Order is not important.) A) $4C2\times12C5\times7C3$. B) $4P2\times12P5\times7P3$. C) $4\times12\times7$. D) $\frac{4\times12\times7}{2\times5\times3}$. Show Answer Correct Answer: A) $4C2\times12C5\times7C3$. 18. What is the difference 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. 19. What is the value of 8! A) 40320. B) 36. C) 362880. D) 5040. Show Answer Correct Answer: A) 40320. 20. Castel and Joe are planning trips to three countries this year. There are 7 countries they would like to visit. Is this a permutation or a combination? A) Permutation. B) Combination. C) Neither. D) Both. Show Answer Correct Answer: B) Combination. 21. 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? A) 9! = 9*8*7*6*5*4*3**1. B) 15. C) $\frac{9!}{3!}=9\cdot8\cdot7\cdot6\cdot5\cdot4=60480$. D) 54 = 9*3*2. Show Answer Correct Answer: D) 54 = 9*3*2. 22. $_{7}$P$_{2}$ A) 0. B) 7. C) 42. D) 210. Show Answer Correct Answer: C) 42. 23. Solve the following combination:Amanda and Jimmy are planning trips to four countries this year. There are 8 countries they would like to visit. They are deciding which countries to skip. A) 70. B) 45. C) 280. D) 260. Show Answer Correct Answer: A) 70. 24. A group of 25 people are going to run a race. The top 8 finishers advance to finals. How many different combinations can there be? A) 625. B) 4.36 X 10$^{10}$. C) 1, 081, 575. D) None of the above. Show Answer Correct Answer: C) 1, 081, 575. 25. There are 45 applicants for three Computer Programmer positions. A) Permutation. B) Combination. C) All the above. D) None of the above. Show Answer Correct Answer: B) Combination. ← 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 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 10Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books