This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 7 Permutations And Combinations – Quiz 5 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 5 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. How would you solve?From the 20 DVD's you purchased this past year, you plan to take five with you on vacation. How many different sets of five DVD's can you take? A) Permutation. B) Combination. C) Factorial. D) MPC. Show Answer Correct Answer: B) Combination. 2. In how many different ways can the letters of the word MAGIC can be formed? A) 24 ways. B) 120 ways. C) 240 ways. D) 720 ways. Show Answer Correct Answer: B) 120 ways. 3. Calculate the number of permutations of 5 objects taken 3 at a time. A) 30. B) 120. C) 45. D) 60. Show Answer Correct Answer: D) 60. 4. An arrangement of objects in a straight line where the arrangement of the objects is important. It is special case of the counting principle-it tells us the distinct number of arrangements of objects, one after the other, form a set of objects. A) COMBINATION. B) FUNDAMENTAL COUNTING PRINCIPLE. C) PERMUTATION. D) None of the above. Show Answer Correct Answer: C) PERMUTATION. 5. If P(56, r+6):P(54, r+3) = 30800:1 A) 41. B) 23. C) 32. D) 14. Show Answer Correct Answer: A) 41. 6. Would you use permutations or combinations to find the number of possible arrangments of 10 students in a line? A) Permutations. B) Combinations. C) All the above. D) None of the above. Show Answer Correct Answer: A) Permutations. 7. How many arrangements can be formed from the word MEDIAN? A) 5!. B) 6!. C) 7!. D) 8!. Show Answer Correct Answer: B) 6!. 8. Suppose you find 7 articles related to the topic of your research paper. In how many ways can you choose 5 articles to read? A) 21. B) 35. C) 120. D) 2520. Show Answer Correct Answer: A) 21. 9. How many different four-person relay teams can be chosen from eight students? A) 24. B) 1, 680. C) 70. D) 40, 320. Show Answer Correct Answer: C) 70. 10. In how many different ways can five friends sit for a photograph of five chairs in a row? A) 120 ways. B) 24 ways. C) 240 ways. D) 720 ways. Show Answer Correct Answer: A) 120 ways. 11. Jeremiah needs to pick 3 pairs of socks for his trip to Costa Rica. How many ways can he choose if he has 9 pairs? A) 84. B) 27. C) 504. D) 108. Show Answer Correct Answer: A) 84. 12. Find how many different 4-digit numbers that are odd and greater than 6000 can be formed using the digits 1, 2, 3, 4, 5, and 6 if no digit is repeated. A) 72. B) 36. C) 180. D) 54. Show Answer Correct Answer: B) 36. 13. From a deck of 52 cards, how many ways can you choose 5 cards? A) 2, 598, 960. B) 1, 287, 000. C) 1, 000, 000. D) 5, 000. Show Answer Correct Answer: A) 2, 598, 960. 14. In how many ways can 5 red and 4 white balls be drawn from a bag containing 10 red and 8 white balls? A) $^{8}$C$_{5}$ x $^{10}$C$_{4}$. B) $^{10}$C$_{5}$ x $^{8}$C$_{4}$. C) $^{18}$C$_{9}$. D) None of above. Show Answer Correct Answer: B) $^{10}$C$_{5}$ x $^{8}$C$_{4}$. 15. Apply the formula for combinations:C(n, r) = n! / (r! * (n-r)!). What is C(8, 3)? A) 72. B) 48. C) 36. D) 56. Show Answer Correct Answer: D) 56. 16. If the order of selection does not matter, which method do you use:permutation or combination? A) Distribution. B) Selection. C) Combination. D) Arrangement. Show Answer Correct Answer: C) Combination. 17. How many distinct arrangements are there of the word NEEDLEES? A) 560. B) 3360. C) 6720. D) 40320. Show Answer Correct Answer: B) 3360. 18. Rob is one of seven children in his family. How many ways can his parents choose four siblings to do chores? A) 35. B) 28. C) 840. D) 10. Show Answer Correct Answer: A) 35. 19. Max's cell phone uses a three-digit pin to unlock it. How many different possible ways can he make a pin number using the digits 0-9? No digits repeat. A) 90. B) 729. C) 1000. D) 720. Show Answer Correct Answer: D) 720. 20. Find:$4!$ A) 4. B) 24. C) 10. D) 15. Show Answer Correct Answer: B) 24. 21. How many ways can the word BASEBALL be arranged? A) 4059. B) 5400. C) 5040. D) 3452. Show Answer Correct Answer: C) 5040. 22. A team of 8 basketball players needs to choose a captain and co-captain. A) Permutation. B) Combination. C) All the above. D) None of the above. Show Answer Correct Answer: B) Combination. 23. Find the number of possibilities:A group of 25 people are going to run a race. The top 8 finishers advance to finals. 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. 24. If five digits 1, 2, 3, 4, 5 are being given and a three digit code has to be made, then how many such codes can be formed (if repetition of digits is allowed). A) 25. B) 98. C) 60. D) 125. Show Answer Correct Answer: D) 125. 25. Find the total number of outcomes when choosing between vanilla, strawberry, chocolate or mint chocolate chip ice cream with fudge, butterscotch, strawberry or whipped topping, in a cone or a cup. A) 16. B) 8. C) 32. D) 3. Show Answer Correct Answer: C) 32. ← 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 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 10Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books