This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 7 Permutations And Combinations – Quiz 14 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 14 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Use the fundamental counting principle to determine the number of ways a 4-digit pin number can be created if the first digit cannot be zero. A) 9000. B) 40. C) 39. D) 90. Show Answer Correct Answer: A) 9000. 2. Solve the following combination:Selecting which seven players will be in the batting order on a 9 person team. A) 36. B) 30. C) 72. D) 18. Show Answer Correct Answer: A) 36. 3. How many four digit numbers can be formed from the numbers 1, 3, 4, 6, 8, and 9 if repitition is not allowed? A) 360. B) 125. C) 432. D) None of the above. Show Answer Correct Answer: A) 360. 4. Ten students in your math class are presenting unique proofs to their classmates. The order in which the proofs are chosen to be presented is random. Find the probability that the proof using the HL Theorem is chosen first and your proof on CPCTC Theorem is chosen to go second. A) 1/10. B) 1/10!. C) 4/5. D) 1/90. Show Answer Correct Answer: D) 1/90. 5. There are 720 different 5-digit numbers that can be formed using the digits 1, 2, 3, 5, 7, and 8, if each digit may be used only once in any number. How many of the 5-digit numbers are not divisible by 5? A) 720. B) 576. C) 648. D) 600. Show Answer Correct Answer: D) 600. 6. What is the value of $P(7, 3)$ A) 210. B) 35. C) 343. D) 5040. Show Answer Correct Answer: A) 210. 7. Tree diagrams are useful because ..... A) They are cool to draw. B) They show you pictures of the food. C) They show you all possible outcomes. D) They only show you the best choices. Show Answer Correct Answer: C) They show you all possible outcomes. 8. How many different arrangements can be made from COLLEGE? A) 28. B) 720. C) 1260. D) 35280. Show Answer Correct Answer: C) 1260. 9. How would you solve?Rylan's basketball team has 11 players. How many ways can his coach choose five starting players? A) Permutation. B) Counting Principles. C) Factorial. D) Combination. Show Answer Correct Answer: D) Combination. 10. Does order matter in combination? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 11. In the permutation formula nPr, what does the 'r' represent? A) Number of combinations. B) Number of repetitions. C) Number of arrangements. D) Number of elements. Show Answer Correct Answer: C) Number of arrangements. 12. What is $5!$ A) $120$. B) 120 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $120$. 13. A group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals. A) Combination. B) Permutation. C) All the above. D) None of the above. Show Answer Correct Answer: B) Permutation. 14. Out of numbers (1, 2, 3, 5, 7 & 9) how many four digit even numbers can be formed? A) 100. B) 360. C) 60. D) 260. Show Answer Correct Answer: C) 60. 15. Picking first, second, and third place winners. A) Permutation. B) Combination. C) Neither. D) None of the above. Show Answer Correct Answer: A) Permutation. 16. A man has 13 course mates and he wants toinvite 6 of them to lunch. In how many ways can he invitethem? A) $13C_6$. B) $6C_{13}$. C) $6P_{13}$. D) $13P_6$. Show Answer Correct Answer: A) $13C_6$. 17. How many ways can you arrange 10 books on a shelf? A) 10. B) 100. C) 50. D) 3, 628, 800. Show Answer Correct Answer: D) 3, 628, 800. 18. Permutation, combination, or neither?There are 15 applicants for four jobs; ComputerProgrammer, Software Tester, Manager, and Systems Engineer. A) Permutation. B) Combination. C) Neither. D) None of the above. Show Answer Correct Answer: A) Permutation. 19. An election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can this be done?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. 20. Given the probability model in the table below, what is the expected value of the random variable? X 50 20 5P(X) 0.1 0.3 0.6 A) 14. B) 4.67. C) 5. D) 7.5. Show Answer Correct Answer: A) 14. 21. Calculate the number of ways to arrange the letters in the word 'SCHOOL'. A) 240. B) 180. C) 360. D) 720. Show Answer Correct Answer: C) 360. 22. Seven players are trying out for the team captain and co-captain. How many ways can the coach fill these positions? A) 21. B) 42. C) 35. D) 84. Show Answer Correct Answer: B) 42. 23. If a class has 20 students, how many ways can a president and a vice president be chosen? A) 360. B) 380. C) 300. D) 400. Show Answer Correct Answer: B) 380. 24. A student is to answer 8 outof 10 questions in an examination. How many choices she has? A) $8C_{10}$. B) $8P_{10}$. C) $10P_8$. D) $10C_8$. Show Answer Correct Answer: D) $10C_8$. 25. If a password is made by choosing three distinct letters from the alphabet, with letters being able to repeat, how many different passwords can be created? A) $26^3$. B) $15, 600$. C) $26 \times 25 \times 24$. D) $78$. Show Answer Correct Answer: A) $26^3$. ← 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