This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 7 Permutations And Combinations – Quiz 4 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 4 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream. A customer gets to choose a cone and a type of ice cream. How many different 1-scoop ice cream cones can a customer order? A) 34. B) 2. C) 3. D) 93. Show Answer Correct Answer: D) 93. 2. A team of 3 members isto be selected from 8 students. In how many ways can the team be chosen if there is no restriction. A) $8!$. B) $8P_3$. C) $8C_3$. D) $3!$. Show Answer Correct Answer: C) $8C_3$. 3. A team of 3 people is to be selected from 7 women and 6 men. Find the number of different teams that could be selected if there must be more women than men on the team. A) 161. B) 315. C) 420. D) 525. Show Answer Correct Answer: A) 161. 4. James purchased 3 shirts, 3 jackets and 2 pairs of pants. How many different outfits using a shirt, a jacket, and pants are possible? A) 8. B) 18. C) 54. D) None of the above. Show Answer Correct Answer: B) 18. 5. Define permutation and combination. A) Permutation:grouping of objects with repetition; Combination:arrangement of objects with repetition. B) Permutation:arrangement of objects in order; Combination:selection of objects without order. C) Permutation:selection of objects with replacement; Combination:arrangement of objects with replacement. D) Permutation:selection of objects in order; Combination:arrangement of objects without order. Show Answer Correct Answer: B) Permutation:arrangement of objects in order; Combination:selection of objects without order. 6. Calculate the number of combinations of 6 items taken 2 at a time. A) 20. B) 5. C) 10. D) 15. Show Answer Correct Answer: D) 15. 7. If there are 4 different books on mathematics, 3 different books on physics, and 2 different books on chemistry, in how many ways can the books be arranged on a shelf if the books on the same subject must be kept together? A) $288$. B) 288 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $288$. 8. What is the multiplication rule in counting principles? A) The total number of outcomes is the sum of the number of ways each event can occur. B) The total number of outcomes is the product of the number of ways each event can occur. C) The total number of outcomes is the difference of the number of ways each event can occur. D) The total number of outcomes is the division of the number of ways each event can occur. Show Answer Correct Answer: B) The total number of outcomes is the product of the number of ways each event can occur. 9. In how many ways can the letters of the word "MATH" be arranged? A) 12. B) 24. C) 48. D) 6. Show Answer Correct Answer: B) 24. 10. How would you solve?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) Permutation. B) Combination. C) Factorial. D) Probability. Show Answer Correct Answer: B) Combination. 11. Try something new:Samuel has 5 different colors of pens and 2 different colors of paper. Which model could be used to simulate randomly selecting a pen and a piece of paper? A) Spin a spinner with 5 sections, then flip a coin. B) Roll a die 5 times. C) Flip a coin 5 times. D) Roll a die, then flip a coin 5 times. Show Answer Correct Answer: A) Spin a spinner with 5 sections, then flip a coin. 12. What is the probability of drawing a heart or a club from a standard deck of cards? A) $\frac{1}{2}$. B) 21 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\frac{1}{2}$. 13. A team of 17 softball players needs to choose three players to refill the water cooler. How many ways can the selection be made? A) 4080. B) 51. C) 680. D) 20. Show Answer Correct Answer: C) 680. 14. A committee of 4 members is to be formed from a group of 10 people. How many different committees can be formed? A) 210. B) 120. C) 30. D) 45. Show Answer Correct Answer: A) 210. 15. Which of the following is an example of combination? A) Form a passcode with 4 digits. B) Students line up in a queue to assembly. C) Choose 4 students in a class committee. D) Choose the chairperson, secretary and treasurer in a club. Show Answer Correct Answer: C) Choose 4 students in a class committee. 16. In permutations and combinations, what does the n represent in nPr and nCr? A) Total number of people/things you can pick from. B) Number of spots you have to fill. C) N is for narwhal. D) Nothing! N means nothing to me! And I'm not being dramatic!. Show Answer Correct Answer: A) Total number of people/things you can pick from. 17. Selecting which nine players will start the game on a 15 person team. A) Permutation. B) Combination. C) All the above. D) None of the above. Show Answer Correct Answer: B) Combination. 18. Linda is packing to go away for the weekend. She needs to pick 3 of her 10 shirts. How many ways can Linda choose the shirts? A) 120. B) 350. C) 3. D) 10. Show Answer Correct Answer: A) 120. 19. A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there? A) 16. B) 8. C) 64. D) 512. Show Answer Correct Answer: C) 64. 20. What is C(9, 4)? A) 36. B) 126. C) 3024. D) 362880. Show Answer Correct Answer: B) 126. 21. Which of the following can have no repeating choices and the order affects the amount of possible outcomes? A) Combination. B) Permutation. C) That multiplication thing . D) I don't know. Ask someone else!. Show Answer Correct Answer: B) Permutation. 22. 5 out of 13 students will ride in a car instead of a van. Is this a permutation or a combination? A) Permutation154, 440. B) Combination1, 287. C) Neither. D) Both. Show Answer Correct Answer: B) Combination1, 287. 23. A committee of 8 people is to be chosen from 7 men and 5 women. Find the number of different committees that could be selected if the oldest man or the oldest woman, but not both, must be included in the committee. A) 45. B) 420. C) 105. D) 240. Show Answer Correct Answer: D) 240. 24. Permutation or Combination:The student body of 30 students wants to elect a president, vice president, secretary, and treasurer. A) Permutation. B) Combination. C) All the above. D) None of the above. Show Answer Correct Answer: A) Permutation. 25. A combination lock has 7 digits. How many distinct combinations does this lock have if the numbers used have to be 0 through 5? A) 279936. B) 78125. C) 823543. D) 16807. Show Answer Correct Answer: A) 279936. ← 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 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 10Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books