Global MCQ Practice

🌐 Total MCQ
🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books

Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 6 (60 MCQs)

Quiz Instructions

Select an option to see the correct answer instantly.

1. Ahmad's school day consists of six classes. How many different ways can his schedule be arranged?
2. How many different ways can 3 prizes be awarded to 10 participants if each participant can win only one prize?
3. 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.
4. Solve the following combination:Selecting which seven players will be in the batting order on a 9 person team.
5. How many four digit numbers can be formed from the numbers 1, 3, 4, 6, 8, and 9 if repitition is not allowed?
6. 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.
7. 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?
8. What is the value of $P(7, 3)$
9. Tree diagrams are useful because .....
10. How many different arrangements can be made from COLLEGE?
11. How would you solve?Rylan's basketball team has 11 players. How many ways can his coach choose five starting players?
12. Does order matter in combination?
13. In the permutation formula nPr, what does the 'r' represent?
14. A group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals.
15. Out of numbers (1, 2, 3, 5, 7 & 9) how many four digit even numbers can be formed?
16. Picking first, second, and third place winners.
17. A man has 13 course mates and he wants toinvite 6 of them to lunch. In how many ways can he invitethem?
18. How many ways can you arrange 10 books on a shelf?
19. Permutation, combination, or neither?There are 15 applicants for four jobs; ComputerProgrammer, Software Tester, Manager, and Systems Engineer.
20. 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?
21. 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
22. Calculate the number of ways to arrange the letters in the word 'SCHOOL'.
23. Seven players are trying out for the team captain and co-captain. How many ways can the coach fill these positions?
24. If a class has 20 students, how many ways can a president and a vice president be chosen?
25. A student is to answer 8 outof 10 questions in an examination. How many choices she has?
26. 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?
27. The number of different four digit numbers that can be formed with the digits 2, 3, 4, 7 and using digit only once is
28. There are 14 toppings listed on a pizza menu. How many different six-topping pizzas are possible?
29. In a party, 12 people are from same city. How many handshakes can be done among these 12 people?
30. How many arrangements can be made with the letters of the word ' MATHEMATICS'? In how many of them vowels are together?
31. How many different ways can a theatrical group select 2 musicals and 3 dramas from 11 musicals and 8 dramas?
32. How many ways can you select 3 students from a class of 15 if the order of selection matters?
33. In the combination formula nCr, what does the 'n' represent?
34. You go to Best Buy to purchase a new television. You have the following choices:LCD or plasma; screen size 27" , 32" , 36" , 41" , 51" , or 63" and manufacturer Sony, Vizio or Phillips. How many different televisions does the store have to offer?
35. The five digits 2, 3, 4, 5, 5 can be arranged to give many different 5-digit numbers. How many of these 5-digit numbers start with an even digit and end with an odd digit?
36. There are ten toppings available to make an ice cream sundae. How many different sundaes can Lala make if she chooses two toppings?
37. If all items chosen are treated differently it is a .....
38. How many words ( with or without meaning) can be formed from the letters of the word 'AGAIN'?
39. If P(10, r) = 5040, find r.
40. In how many ways can 5 students be seated in a row?
41. How many ways can the coach pick a team of 5 players out of 15 players?
42. How many ways can you choose 2 fruits from a basket containing 5 different fruits?
43. How many distinct arrangements can be made using the letters of the word APPLE?
44. The student body of 10 students wants to elect a president, vice president, secretary, and treasurer. Is this a permutation or a combination?
45. Find n, if:(i) $\left(n+2\right)!=2550\times n$ $\left(n+1\right)!=12\times\left(n-1\right)!$
46. In Cornville, bicycle license plates have 2 letters followed by a 1-digit number. How many different license plates are possible?
47. Use a Calculator. Find the value of 8!
48. In how many ways can 5 different prizes be distributed among 4 students if each student can receive any number of prizes?
49. What is the total number of ways to choose 3 toppings from a selection of 8 for a pizza?
50. A team of 8 players is to be chosen from 6 girls and 8 boys. Find the number of different ways the team may be chosen if at least 1 girl is on the team.
51. What is the definition of probability?
52. How many 3-digit numbers can be formed without using the digits 0, 2, 3, 4, 5 and 6?
53. How many ways can you choose 4 ice cream flavours from a selection of 10?
54. You have DVD collection with 20 DVDs. You can only take five DVDs with you on vacation. How many different sets of five DVDs can you take?
55. A selection of objects in which order is not important is call a .....
56. Permutation, combination, or neither?Selecting which players will play on an 11 person team.
57. If Sarah owns 11 hoodies, how many ways can she choose four to bring on vacation?
58. Solve the following combination:A group of 20 people are going to run a race. The top 9 finishers advance to the finals.
59. A password consists of 3 letters followed by 2 digits. How many different passwords can be created if repetition is allowed?
60. How many unique ways can you flip a coin, roll a die, and spin a five-sectioned spinner?
🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books