This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 7 Permutations And Combinations – Quiz 10 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 10 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Find the number of possibilities:A team of 17 softball players needs to choose three players to refill the water cooler. A) 272. B) 4080. C) 680. D) None of the above. Show Answer Correct Answer: C) 680. 2. Four names will chosen randomly from a list of twenty entries to be in a group that travels to Europe. How many unique possibilities are there? A) 80. B) 4, 845. C) 116, 280. D) 160, 000. Show Answer Correct Answer: C) 116, 280. 3. If the different permutations of the word 'EXAMINATION' are listed in a dictionary, how many items are there in the list before the first word starting with E? A) 907200. B) 907100. C) 907300. D) 907002. Show Answer Correct Answer: A) 907200. 4. Ambry must submit 4 paintings as part of herapplication to art school. If she has 25 to choose from, how many ways can she pick 4? A) 12, 650. B) 303, 600. C) 100. D) 254. Show Answer Correct Answer: A) 12, 650. 5. Choice210 A) 220. B) 120. C) 110. D) None of above. Show Answer Correct Answer: B) 120. 6. How many ways can you line up your eight trophies that you've won over the years on a shelf in your room?Is this a factorial problem or a counting principle problem? A) Factorial-there are a group of objects that need to be put in order. B) Counting Principle-there are different categories to pick from. C) All the above. D) None of the above. Show Answer Correct Answer: A) Factorial-there are a group of objects that need to be put in order. 7. You are asked to list, in order of preference, your top 3 movies of the year. You saw 14 movies. How many ways can your top movies be arranged? A) $0$. B) $42$. C) $364$. D) $2184$. Show Answer Correct Answer: D) $2184$. 8. Solve the following permutation:Kayla and Chelsea are planning trips to three countries this year. There are 5 countries they would like to visit. One trip will be one week long, another two days, and the other two weeks. A) 80. B) 10. C) 60. D) 85. Show Answer Correct Answer: C) 60. 9. In how many ways can the word TITLE be arranged in such a way that all vowels come together? A) 60. B) 24. C) 36. D) 48. Show Answer Correct Answer: B) 24. 10. If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed? A) 123880. B) 345078. C) 175760. D) 675433. Show Answer Correct Answer: C) 175760. 11. How many ways can you make a 3-letter arrangements out of the letters in the wordTRAPEZOID. A) Permutation. B) Combination. C) All the above. D) None of the above. Show Answer Correct Answer: A) Permutation. 12. In the permutation formula 4P2, what does the 'P' represent? A) Plus. B) Permutation. C) Product. D) Power. Show Answer Correct Answer: B) Permutation. 13. 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 these 5-digit numbers are even and greater than 30000? A) 360. B) 168. C) 240. D) 300. Show Answer Correct Answer: B) 168. 14. Ambry must submit 4 paintings as part of her application to art school. If she has 25 to choose from, how many ways can she pick 4? A) 12, 650. B) 303, 600. C) 100. D) 254. Show Answer Correct Answer: A) 12, 650. 15. There are 110 people at a meeting. They each shake hands with everyone else. How many handshakes were there? A) Permutation. B) Combination. C) All the above. D) None of the above. Show Answer Correct Answer: B) Combination. 16. When does the order in which you are choose matter? A) Combination. B) Permutation. C) All the above. D) None of the above. Show Answer Correct Answer: B) Permutation. 17. Identify the type of situation:Choosing 3 different pizza toppings from a list of 12. A) Combination. B) Permutation. C) All the above. D) None of the above. Show Answer Correct Answer: A) Combination. 18. What does $_{10}$C$_{5 }$mean? A) Combinations with 5 choices and 10 positions. B) Combinations with 10 choices and 5 positions. C) Permutations with 5 numbers and 10 operations. D) Permutations with 5 hot dogs and 10 drinks. Show Answer Correct Answer: B) Combinations with 10 choices and 5 positions. 19. How many ways can you arrange the letters in the word "CAT" ? A) 3. B) 6. C) 9. D) 12. Show Answer Correct Answer: B) 6. 20. What is the value of 4C2 * 2!? A) 12. B) 24. C) 36. D) 48. Show Answer Correct Answer: B) 24. 21. There are 45 applicants for three Computer Programmer positions. Is this a permutation or a combination? A) Permutation. B) Combination. C) Neither. D) Both. Show Answer Correct Answer: A) Permutation. 22. The ski club has 10 members and is choosing three officers for the season. How many ways can they pick a captain, co-captain and secretary?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: A) Permutation-the order matters. 23. Willy runs a small company with 10 employees. He decides to pick a simple random sample of three employees to go on a business trip. He numbers them 0-9 and uses the random digit table below to select the sample. Which employees are in the sample? 67197 28310 90341 A) 67, 19, 72, 83, 10. B) 67, 19, 72. C) 6, 7, 1, 9. D) 6, 7, 1. Show Answer Correct Answer: D) 6, 7, 1. 24. Picking a President, Vice-President, and Secretary from a group of 12. A) Permutation. B) Combination. C) Neither. D) None of the above. Show Answer Correct Answer: A) Permutation. 25. $^{12}$C$_{3}$ A) 36. B) 66. C) 220. D) 500. Show Answer Correct Answer: C) 220. ← 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 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books