This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 7 Permutations And Combinations – Quiz 20 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 20 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. How many different 10-letter arrangements can be made from the word BASKETBALL? A) 3628802. B) 453600. C) 604800. D) 26300. Show Answer Correct Answer: B) 453600. 2. In a poetry-telling competition 4 boys and 6 girls performed excellenty. For a school celebration 3 boys and 3 girls need to be chosen from them. In how many ways can we do so? A) 210 ways. B) 36 ways. C) 17280 ways. D) 80 ways. E) None of these. Show Answer Correct Answer: D) 80 ways. 3. In how many ways can the word ARRANGE be rearranged if there is no restriction. A) $7!$. B) $\frac{7!}{2!}$. C) $\frac{7!}{2!2!}$. D) $\frac{7!}{2!3!}$. Show Answer Correct Answer: C) $\frac{7!}{2!2!}$. 4. In permutations and combinations, what does the r represent in nPr and nCr? A) Total number of choices you can make. B) Number of choices that can be made. C) R is for rhino. D) That's what pirates say. Show Answer Correct Answer: B) Number of choices that can be made. 5. What is 8C4 (combinations of 8 taken 4 at a time)? A) 84. B) 28. C) 56. D) 70. Show Answer Correct Answer: D) 70. 6. Heather must choose a PIN code for her ATM card. The pin is a 4 digit code. How many possible PIN numbers are there? A) 10, 000. B) More than 1 million. C) 4. D) None of these. Show Answer Correct Answer: A) 10, 000. 7. Picking 5 cards from a deck of cards. A) Permutation. B) Combination. C) Neither. D) None of the above. Show Answer Correct Answer: B) Combination. 8. Tracy wants to display 3 of 5 pictures on her wall in a straight line. How many ways can she arrange the pictures? A) 60 ways. B) 120 ways. C) 10 ways. D) 3 ways. Show Answer Correct Answer: A) 60 ways. 9. Find out the number of distinctive words that can be formed using the word GOOD. A) 16. B) 24. C) 28. D) 48. Show Answer Correct Answer: B) 24. 10. A ..... is an arrangement of objects in which the order IS important A) Combination. B) Factorial. C) Compliment. D) Permutation. Show Answer Correct Answer: D) Permutation. 11. Which is the correct set up for $_{32}C_7$ A) $\frac{25!}{32!7!}$. B) $\frac{32!}{25!}$. C) $\frac{32!}{25!7!}$. D) $\frac{7!}{25!}$. Show Answer Correct Answer: C) $\frac{32!}{25!7!}$. 12. How many identification code are possible by using 3 letters if no letter may be repeated? A) 15, 600. B) 75. C) 78. D) None of the above. Show Answer Correct Answer: A) 15, 600. 13. What is the probability of selecting 3 red balls from a bag containing 5 red balls and 7 blue balls without replacement? A) $\frac{10}{99}$. B) $\frac{5}{12}$. C) $\frac{1}{22}$. D) $\frac{1}{12}$. Show Answer Correct Answer: A) $\frac{10}{99}$. 14. A team of 15 basketball players need to choose a Captain & a Co-captain. How many ways can that selection be made? A) 5140. B) 280. C) 210. D) 35. Show Answer Correct Answer: C) 210. 15. Thirty people report for jury duty. How many different 12-person juries can be chosen? A) 30. B) 360. C) 86, 493, 225. D) 864, 930, 225. Show Answer Correct Answer: C) 86, 493, 225. 16. Permutation, combination, or neither?You have 4 framed portraits. How many ways can you arrange all 4 of them on the top of your bookshelf? A) Combination. B) Permutation. C) Neither. D) None of the above. Show Answer Correct Answer: B) Permutation. 17. P(7, 3) =? A) 210. B) 35. C) 7!. D) $\frac{7!}{3!}$. Show Answer Correct Answer: A) 210. 18. A 5-character password is to be chosen from the letters A, B, C, D, E, and the digits 4, 5, 6, 7. Each letter or digit may be used only once. Find the number of different passwords that can be chosen if the password contains 2 letters followed by 3 digits. A) 720. B) 480. C) 120. D) 600. Show Answer Correct Answer: B) 480. 19. Permutation, combination, or neither?You are setting a combination on a three-digit lock usingthe numbers 0-9. A) Permutation. B) Combination. C) Neither. D) None of the above. Show Answer Correct Answer: A) Permutation. 20. How many different ways can a president, vice-president, and secretary be chosen from a club of 10 members? A) $720$. B) 720 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $720$. 21. Identify the situation:Choosing first-, second-, and third-place winners of an art competition. A) Combination. B) Permutation. C) All the above. D) None of the above. Show Answer Correct Answer: A) Combination. 22. Picking two paint colors for your room. A) Permutation. B) Combination. C) Neither. D) None of the above. Show Answer Correct Answer: B) Combination. 23. Permutation, combination, or neither?A group of 25 people are going to run a race. The top 8 finishers advance to the finals. A) Permutation. B) Combination. C) Neither. D) None of the above. Show Answer Correct Answer: B) Combination. 24. Calculate the number of combinations of 6 objects taken 2 at a time. A) 10. B) 12. C) 15. D) 20. Show Answer Correct Answer: C) 15. 25. When three-digit telephone area codes were first put in place, the first number could be any digit (2-9), the second number could only be 0 or 1, and the third could be any digit (0-9). How many possible area codes can be created with this format? A) 24. B) 126. C) 140. D) 160. Show Answer Correct Answer: D) 160. ← 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