This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 7 Permutations And Combinations – Quiz 17 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 17 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the value of 5 * 4 * 3? A) 100. B) 80. C) 60. D) 40. Show Answer Correct Answer: C) 60. 2. What is 4! called? A) Fabulous Four. B) Final Four. C) Four Factorial. D) Four Factored. Show Answer Correct Answer: C) Four Factorial. 3. The letters A, B, C, and D are used to form four-letter passwords for entering a computer file. How many passwords are possible if letters can be repeated? A) 4 x 4 x 4 x 4 = 256. B) 4 x 3 x 2 x 1 = 24. C) 4 + 4 + 4 + 4 = 16. D) 4 + 3 + 2 + 1 = 10. Show Answer Correct Answer: A) 4 x 4 x 4 x 4 = 256. 4. A team of 6 players is to be chosen from 8 men and 4 women. Find the number of different ways this can be done if there is at least one woman in the team. A) 495. B) 1260. C) 924. D) 896. Show Answer Correct Answer: D) 896. 5. What is P(9, 4)? A) 36. B) 126. C) 3024. D) 362880. Show Answer Correct Answer: C) 3024. 6. From among the 50 teachers in a school, one principal and two vice principals are to be appointed.In how mny ways can this be done? A) 11789. B) 11760. C) 117600. D) 117780. Show Answer Correct Answer: C) 117600. 7. In a race with 8 participants, how many ways can the gold, silver, and bronze medals be awarded? A) 336. B) 56. C) 24. D) 512. Show Answer Correct Answer: A) 336. 8. How many ways ways can you arrange the letters in the word KABABAYAN? A) 524. B) 7560. C) 240. D) None of the above. Show Answer Correct Answer: B) 7560. 9. If a club consists of 10 members, how many different arrangements of president, vice president, and secretary are possible? A) 120. B) 720. C) 30. D) 13. Show Answer Correct Answer: B) 720. 10. Runners finishing 1st, 2nd, and 3rd in a race. A) Permutation. B) Combination. C) All the above. D) None of the above. Show Answer Correct Answer: A) Permutation. 11. 12 racers in a race, and there is a first, second and third. How many ways can the results end up. A) 220. B) 79, 833, 600. C) 27. D) 1, 320. Show Answer Correct Answer: D) 1, 320. 12. How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed? A) 40. B) 400. C) 5040. D) 2520. Show Answer Correct Answer: C) 5040. 13. A pizza shop offers 5 toppings. How many different pizzas can be made with exactly 3 toppings? A) 10. B) 20. C) 60. D) 120. Show Answer Correct Answer: A) 10. 14. A choir consisting of 5 singers is to be selected from 6 girls and 4 boys.Calculate the number of ways of selecting the choir if the choir consists of exactly 3 girls. A) 12. B) 120. C) 144. D) 2400. Show Answer Correct Answer: B) 120. 15. How many different arrangements can be made from MATH? A) 10. B) 0. C) 6. D) 24. Show Answer Correct Answer: D) 24. 16. If nC2=28, then what is the value of n? A) 8. B) 7. C) 6. D) 5. Show Answer Correct Answer: A) 8. 17. Suppose you pay $ 1.00 to roll a fair die with the understanding you will get $ 3.00 back rolling a 4 or a 2, and nothing otherwise. Is this a fair game? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 18. Permutation, combination, or neither?A team of 8 basketball players need to choose a co-captain and captain. A) Combination. B) Permutation. C) Neither. D) None of the above. Show Answer Correct Answer: B) Permutation. 19. The model of car you are thinking of purchasing is available in nine different colors, three different styles and two sizes of motor. How many ways can you order the car?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: B) Counting Principle-there are different categories to pick from. 20. What is the formula for permutation? A) $n!\left(n-r\right)!$. B) $\frac{n!}{\left(n-r\right)!}$. C) $\frac{n!}{r!\left(n-r\right)!}$. D) $\frac{\left(n-r\right)!}{n!}$. Show Answer Correct Answer: B) $\frac{n!}{\left(n-r\right)!}$. 21. "The batting order for eight players on a 10 person team" . Is this a permutation, combination, or neither? A) Neither. B) Permutation. C) Combination. D) None of the above. Show Answer Correct Answer: B) Permutation. 22. Differentiate between permutations and combinations. A) Permutations consider order, combinations do not. B) Combinations consider order, permutations do not. C) Both consider order. D) Neither consider order. Show Answer Correct Answer: A) Permutations consider order, combinations do not. 23. From a group of 8 snails and 6 slugs, a group of mollusks is formed. How many different groups can be formed if the group must consist of 3 snails and 2 slugs? A) $840$. B) 840 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $840$. 24. How many ways ways can you arrange the letters in the word math? A) 15. B) 4. C) 24. D) 48. Show Answer Correct Answer: C) 24. 25. Permutation, combination, or neither?There are 45 applicants for three Computer Programmer job positions. A) Combination. B) Permutation. C) Neither. D) None of the above. Show Answer Correct Answer: A) 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