This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 7 Permutations And Combinations – Quiz 18 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 18 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the formula for combinations? A) $\frac{n!}{r\left(n-r\right)!}$. B) $\frac{n!}{\left(n-r\right)}$. C) $\frac{n!}{\left(n-r\right)!}$. D) $\frac{n!}{r!\left(n-r\right)!}$. Show Answer Correct Answer: D) $\frac{n!}{r!\left(n-r\right)!}$. 2. What is the definition of Permutation? A) To be or not to be?. B) A way in which a set or number of things can be ordered or arranged. C) Reoccurring Numbers. D) Mr. Burns. Show Answer Correct Answer: B) A way in which a set or number of things can be ordered or arranged. 3. How many ways can a Mathematics team of 4 people be chosen from a training group of 4 boys and 3 girls if there are exactly 2 boys and 2 girls on the team? A) 18. B) 24. C) 35. D) 144. Show Answer Correct Answer: A) 18. 4. Evaluate $_{12}$C$_{4}$ A) 479, 001, 600. B) 40, 320. C) 11, 880. D) 495. Show Answer Correct Answer: D) 495. 5. How many new 3-digit combinations can you make using these 0-9 (all ten digits) digits, if no digit can be repeated? A) $1000$. B) $720$. C) $120$. D) $1$. Show Answer Correct Answer: B) $720$. 6. If 2.P(5, 3) = P(n, 4), find n. A) 5. B) 4. C) 6. D) 1. Show Answer Correct Answer: A) 5. 7. Castel and Joe are planning trips to three countries this year. There are 7 countries they would like to visit. A) Combination. B) Permutation. C) All the above. D) None of the above. Show Answer Correct Answer: A) Combination. 8. Permutation, combination, or neither?The batting order for seven players on a 12 person team. A) Combination. B) Permutation. C) Neither. D) None of the above. Show Answer Correct Answer: B) Permutation. 9. 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) 40!. B) $\frac{8}{40}=0.2$. C) 8!. D) 76904685. Show Answer Correct Answer: D) 76904685. 10. There are 10 boys and 15 girls in a class. How many ways can the teacher choose a committee of 5? A) $10C_5$. B) $10P_5$. C) $25P_5$. D) $25C_5$. Show Answer Correct Answer: D) $25C_5$. 11. How many different, even 5-digit numbers less than 60000 can be formed using the digits 1, 2, 4, 5, 7, and 9 if no digit is repeated? A) 144. B) 240. C) 3600. D) 4800. Show Answer Correct Answer: A) 144. 12. If you can choose 2 out of 5 different ice cream flavors, how many combinations can you make? A) 15. B) 20. C) 10. D) 5. Show Answer Correct Answer: C) 10. 13. Benedict has 12 schools to visit this week. In how many different ways can she pick the first, second, and third school to visit on Monday? A) 120. B) 1320. C) 12. D) 14520. Show Answer Correct Answer: B) 1320. 14. A team of 5 people to be selected out of 4 women and 7 men. In how many different ways this can be done if the team must have 2 women? A) 6. B) 35. C) 210. D) 331. Show Answer Correct Answer: C) 210. 15. Find the value of sin(-330$^\circ$). A) $\frac{1}{4}$. B) -1. C) $\frac{1}{2}$. D) $\frac{1}{3}$. Show Answer Correct Answer: C) $\frac{1}{2}$. 16. How many ways can a coach choose 3 players out of a team of 17 softball players to refill the water cooler? A) 51. B) 680. C) 2, 049. D) 4, 080. Show Answer Correct Answer: B) 680. 17. What is the value of 7P3 (permutations of 7 taken 3 at a time)? A) 42. B) 210. C) 504. D) 120. Show Answer Correct Answer: B) 210. 18. Eight red balls and four blue balls are in a bag. If four balls from the bag are to be selected at random, determine the probability of selecting four red balls. A) 85/99. B) 2/3. C) 14/99. D) 0. Show Answer Correct Answer: C) 14/99. 19. Ten marching bands qualified for finals. If their performance order is random, how many ways can the final four performances be listed? A) 5, 040. B) 720. C) 24. D) 40. Show Answer Correct Answer: A) 5, 040. 20. A team of 7 people is to be chosen from 5 women and 7 men. Calculate the number of different ways in which this can be done if the team is to contain more women than men. A) 210. B) 196. C) 420. D) 792. Show Answer Correct Answer: B) 196. 21. Provide an example where you would use combinations in real life. A) Picking 4 colors from a palette of 8. B) Choosing 3 members from a group of 10 people. C) Selecting 2 toppings from a list of 5 for a pizza. D) Choosing 5 books from a shelf of 15. Show Answer Correct Answer: B) Choosing 3 members from a group of 10 people. 22. Among the seven nominees for two vacancies on the city council are three men and four women. In how many ways may these vacancies be filled with any two of the nominees? A) 12. B) 7. C) 21. D) 42. Show Answer Correct Answer: C) 21. 23. Brianna's school day consists of six classes. How many different ways can her schedule be arranged? A) 720. B) 36. C) 100. D) 500. Show Answer Correct Answer: A) 720. 24. In an examination, a student has to answer 4 questions out of 5 questions; questions 1 and 2 are however compulsory. The number of ways in which the student can make the choice are A) 3. B) 3!. C) 1. D) 4!. Show Answer Correct Answer: A) 3. 25. If all items chosen are treated the same it is a ..... A) Comparision. B) Permutation. C) Combination. D) Position. Show Answer Correct Answer: C) Combination. ← 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