This quiz works best with JavaScript enabled. Home > Class 11 > 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 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. An election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can this be done? A) 6!. B) 120. C) 20. D) 3!. Show Answer Correct Answer: C) 20. 2. How many ways can the letters MATH be arrange? A) 24. B) 3, 125. C) 25. D) 100. Show Answer Correct Answer: A) 24. 3. You need to pick 3 pizza toppings from 10 toppings. How many different pizzas are possible? A) $0$. B) $30$. C) $720$. D) $120$. Show Answer Correct Answer: D) $120$. 4. How many ways can you line up your eight trophies that you've won over the years on a shelf in your room? A) 6!. B) 8!. C) 4!. D) 8. Show Answer Correct Answer: B) 8!. 5. If you draw a random card from a standard deck of cards, how many possible outcomes? A) 13. B) 26. C) 52. D) 54. Show Answer Correct Answer: C) 52. 6. In how many ways can the word DIFFERENTIATION be rearranged if there is no restriction? A) $15!$. B) $\frac{15!}{2!\times2!\times3!}$. C) $\frac{15!}{2!\times2!\times2!\times2!\times3!}$. D) $\frac{15!}{2\times2\times2\times2\times3}$. Show Answer Correct Answer: C) $\frac{15!}{2!\times2!\times2!\times2!\times3!}$. 7. There are 5 different Science magazines and 3 different Health magazines on a shelf.Calculate the number ways to arrange all the magazines on the shelf if no condition is imposed. A) 40230. B) 40320. C) 40032. D) None of the above. Show Answer Correct Answer: B) 40320. 8. How many ways can 4 candy bars be chosen from a store that sells 30 candy bars? A) Permutation. B) Combination. C) All the above. D) None of the above. Show Answer Correct Answer: B) Combination. 9. How many ways could you choose 2 different letters from PROBABILITY? A) 3, 628, 800. B) 28. C) 55. D) 403, 200. Show Answer Correct Answer: C) 55. 10. 7P$_{2}$ A) 0. B) 7. C) 42. D) $^{7}$210. Show Answer Correct Answer: C) 42. 11. . There are 4 black, 5 red and 6 green balls. We have to select 3 balls. In how many different ways we can selecti) All balls are of same colour A) 31. B) 32. C) 34. D) 36. Show Answer Correct Answer: C) 34. 12. Provide an example where you would use permutations in real life. A) Organizing a travel itinerary. B) Selecting a menu for a dinner. C) Choosing a team for a project. D) Arranging speakers in an event. Show Answer Correct Answer: D) Arranging speakers in an event. 13. Use your calculator ..... find the value 8*6! A) 40, 320. B) 720. C) 4, 320. D) 5, 760. Show Answer Correct Answer: D) 5, 760. 14. How many 5-Digit numbers can be formed using 0-9? A) 10. B) 100, 000. C) 15120. D) 10, 000. Show Answer Correct Answer: B) 100, 000. 15. A class has 12 students. In how many ways can a president, vice-president, and secretary be chosen? A) 1320. B) 220. C) 990. D) 1728. Show Answer Correct Answer: A) 1320. 16. A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?Is this a Permutation or a Combination? A) Permutation-the order matters. B) Combination-the order does not matter. C) All the above. D) None of the above. Show Answer Correct Answer: B) Combination-the order does not matter. 17. If a race has 10 participants, how many ways can the top 3 finishers be arranged? A) 720. B) 100. C) 90. D) 60. Show Answer Correct Answer: A) 720. 18. Evaluate 13! A) 169. B) 26. C) $6.2270208\times10^9$. D) 169, 000, 000. Show Answer Correct Answer: C) $6.2270208\times10^9$. 19. How many different ways can the letters of the word "MATH" be arranged? A) $24$. B) 24 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $24$. 20. There are 6 figurines in a shelf. How many different orders of all 6 figurines can be made? A) 720. B) 3, 628, 800. C) 30. D) 1120. Show Answer Correct Answer: A) 720. 21. ONOMATOPIA. Find the number of arrangements if all letters must be used. A) 302, 400. B) 10. C) 3, 628, 800. D) 3, 020, 400. Show Answer Correct Answer: A) 302, 400. 22. Permutation or Combination:Jaidee and Amy are planning trips to four countries this year. There are 6 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. 23. Apply the formula for permutations:P(n, r) = n! / (n-r)!. What is P(7, 4)? A) 960. B) 504. C) 720. D) 840. Show Answer Correct Answer: D) 840. 24. Calculate the number of ways to arrange 4 books on a shelf. A) 24. B) 30. C) 16. D) 12. Show Answer Correct Answer: A) 24. 25. You put 5 names into a hat, they are:John, Jill, Jack, Justin, and Jeremy. What is the probability of you pulling Jack and then Jill? A) 2/5. B) 1/25. C) 1/20. D) 1/5. Show Answer Correct Answer: C) 1/20. ← 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 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