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Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 5 (60 MCQs)

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1. If repetition is not allowed then how many distinct three-digit numbers can be formed using the digits (1, 2, 3, 4, 5)?
2. Permutation, combination, or neither?A team of 15 basketball players needs to choose a captain and a co-captain
3. A team of ball-pickers in a tennis match consists of 6 students. The team is to be selected from a group of 9 boys and 4 girls.Find the number of teams that can be formed if each team consist of not more than 3 girls.
4. Solve the following permutation:The student body of 40 students wants to elect a president, vice president, secretary, and treasurer.
5. If a committee of 4 is to be formed from 10 people, how many different committees can be formed?
6. How many ways can you choose 2 ice cream flavors from a choice of 5 flavors?
7. 5 different roads from city A to city B and 5 different roads from city B to city C. In how many ways can someone go from city A to city C passing by city B?
8. The ..... of a positive integer n is the product of the positive integers less than or equal to n, and is written as n!
9. Calculate the number of ways to arrange 9 books of different tittles on a book rack.
10. 5 out of 13 students will ride in a car instead of a van
11. A club must choose a president and a vice president. If the team has 14 members, how many ways could the officers be chosen?
12. In how many ways can a 4-member relay team be selected from a group of 8 athletes?
13. When the objects in a sample space are arranged so that order is important, each possible arrangement is called a:
14. How would you solve?How many ways can you line up your eight trophies that you've won over the years on a shelf in your room?
15. A coin is flipped 3 times. If you get tails once you get $ 5, tails twice you get $ 15, and tails on all three flips you get $ 40. What is the expected amount of money you will get?
16. The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is
17. For a segment of a radio show, a disc jockey can play 7 songs. If there are 12 songs to select from, in how many ways can the program for this segment be arranged?
18. There are 15 racers running a race. There are medals for the first three racers to cross the finish line. How many ways are there to award medals to the first three racers?Is this a Permutation or a Combination?
19. How many ways can six friends sit at the movies if Hana and Sarra want to sit together?
20. A sample of 3 bulbs is tested. A bulb is labelled as G if it is good and D if it is defective. Find the number of all possible outcomes.
21. In how many ways can you fill in a lottery ticket if you have to mark 6 numbers out of 45?
22. The starting lineup on a basketball team consists of a point guard, shooting guard, small forward, power forward and center. Assuming everyone on the team is capable of playing at each position, how many different starting lineups can be created from a 12-man roster?
23. How many ways can I arrange the letters in the word GOOGLE to make a new (nonsense) word?
24. How many ways can you choose a manager and assistant from a 9-person task force?
25. How many unique "words" can be made from all the letters in SPARTANS?
26. How many chords can be drawn through 15 points on a circle?
27. A student has 6 different books and wants to lend 3 of them to a friend. In how many ways can the student choose the books to lend?
28. If three alphabets are to be chosen from A, B, C, D and E such that repetition is not allowed then in how many ways it can be done?
29. You have 8 classes to take next year. In how many different ways can you arrange these 8 classes?
30. Lloyd and five friends go to a movie. In how many different ways can they sit together in a row of 6 empty seats?
31. In how many ways a committee of 4 members be selectedfrom 5 men and 4 women?
32. You are setting the combination on a three-digit lock.
33. How many arrangements are possible when the letters of the word CHAIR are placed in a row and C and H must be next to each other?
34. To win the small county lottery, one must correctly select 3 numbers from 30 numbers. The order in which the selection is made does not matter. How many different selections are possible?
35. A group of 25 people are going to run a race. The top 8 finishers advance to the finals.
36. How many different arrangements can be made from WATER?
37. State if each scenario involves a permutation or a combination. A team of 17 softball players needs to choose three players to refill the water cooler.
38. Nate is on a 7-day vacation. He plans to spend one day jet skiing and one day golfing. How many ways can Nate schedule these 2 activities?
39. Permutation, combination, or neither?There are 110 people at a meeting. They each shakehands with everyone else. How many handshakes were there?
40. A student is selecting 5 different Geography books, 4 different Chemistry books, and one of 7 different Science books. In how many different ways can a student select them?
41. In how many ways can you arrange the letters in the word "MISSISSIPPI" ?
42. Three-digit numbers are to be formed from the digits 0, 1, 2, 3, and 4 (excluding number which begins with 0). How many numbers can be formed when repetition is allowed.
43. How many different ways can you arrange the letters in the word 'MATH'?
44. There are six nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. Both times the coin is a nickel.
45. How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated
46. A shelf can hold 7 trophies. How many ways can the trophies be arranged if there are 10 trophies available?
47. Try something new:The questions on a multiple choice test each have 6 answer choices. Which model can be used to simulate randomly selecting the correct answer on a 20 question multiple choice test?
48. Find the number of different ways that a family of 9 can be seated around a circular table with 9 chairs.
49. If Jun has 12 T-shirts, 6pairs of pants, and 3 pairs of shoes, how many possibilities can he dress himself for the day?
50. The number of dinosaur models that a museum needs to make from 4 dinosaurs and 2 colors.
51. There are nine varieties of muffins available at the Coffee Shop. How many different ways can you choose three different muffins?
52. Picking your top three favorite prom dresses (in order).
53. Permutation, combination, or neither?A group of 45 people are going to run a race. The top three finishers will win a gold, silver or bronze medal, depending on what place they finish.
54. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
55. In an examination, candidates must select 2 questions from the 5 questions in section A and select 4 questions from the 8 questions in section B. Find the number of ways in which this can be done.
56. What is the value of 10! / (10-4)!?
57. Eight children are to be seated on a bench, how many arrangements are possible if the youngest child sits in a corner?
58. If you roll two six-sided dice, how many possible outcomes are there?
59. In how many ways can you select 3 cards from a standard deck of 52 cards?
60. The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?
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