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Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 3 (60 MCQs)

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1. Find the total number of outcomes when choosing between vanilla, strawberry, chocolate or mint chocolate chip ice cream with fudge, butterscotch, strawberry or whipped topping, in a cone or a cup.
2. When you select a number of items from a larger group of items in and the order is important you are selecting a
3. A group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals. Is this a permutation or a combination?
4. There were 8 students running in a race. How many different arrangements of first, second, and third place are possible?
5. There are 8 different actors auditioning for the roles of Larry, Curly, and Moe. How many ways can the roles me cast?
6. Seven bands have volunteered to perform at a benefit concert, but there is only enough time for four of the bands to play. How many lineups are possible?
7. How many 5-digit (numerical) passwords are possible for the school email system if the first digit cannot be 0 and repetition is NOT allowed.
8. A group of 25 people are going to run a race. The top 8 finishers advance to the finals. Is this a permutation or a combination?
9. There are 18 people running in a cross country race. The top 3 move on to the state finals. How many possible groups could move on?
10. How many ways can you arrange the letters of the word "BANANA" ?
11. Rob and Mary are planning trips to nine countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.
12. Eva has eight glasses of water. In how many different orders can the glasses of water be arranged?
13. There are 12 kinds of Girl Scout cookies for sale. How many ways can Rachel choose three different kinds to buy?
14. How many ways can 13 students line up for lunch?
15. In a train yard, there are 4 tank cars, 12 boxcars, and 7. flatcars. Ho many ways can a train be made up consisting of 2 tank cars, 5 boxcars, and 3 flat cars? (Order is not important.)
16. What is the difference between permutations and combinations?
17. What is the value of 8!
18. Castel and Joe are planning trips to three countries this year. There are 7 countries they would like to visit. Is this a permutation or a combination?
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?
20. Solve the following combination:Amanda and Jimmy are planning trips to four countries this year. There are 8 countries they would like to visit. They are deciding which countries to skip.
21. A group of 25 people are going to run a race. The top 8 finishers advance to finals. How many different combinations can there be?
22. There are 45 applicants for three Computer Programmer positions.
23. An election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can this be done?
24. How many ways can the letters MATH be arrange?
25. You need to pick 3 pizza toppings from 10 toppings. How many different pizzas are possible?
26. How many ways can you line up your eight trophies that you've won over the years on a shelf in your room?
27. If you draw a random card from a standard deck of cards, how many possible outcomes?
28. In how many ways can the word DIFFERENTIATION be rearranged if there is no restriction?
29. There are 5 different Science magazines and 3 different Health magazines on a shelf.Calculate the number ways to arrange all the magazines on the shelf if no condition is imposed.
30. How many ways can 4 candy bars be chosen from a store that sells 30 candy bars?
31. How many ways could you choose 2 different letters from PROBABILITY?
32. . There are 4 black, 5 red and 6 green balls. We have to select 3 balls. In how many different ways we can selecti) All balls are of same colour
33. Provide an example where you would use permutations in real life.
34. Use your calculator ..... find the value 8*6!
35. How many 5-Digit numbers can be formed using 0-9?
36. A class has 12 students. In how many ways can a president, vice-president, and secretary be chosen?
37. A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?Is this a Permutation or a Combination?
38. If a race has 10 participants, how many ways can the top 3 finishers be arranged?
39. There are 6 figurines in a shelf. How many different orders of all 6 figurines can be made?
40. ONOMATOPIA. Find the number of arrangements if all letters must be used.
41. Permutation or Combination:Jaidee and Amy are planning trips to four countries this year. There are 6 countries they would like to visit. They are deciding which countries to skip.
42. Apply the formula for permutations:P(n, r) = n! / (n-r)!. What is P(7, 4)?
43. Calculate the number of ways to arrange 4 books on a shelf.
44. The coed soccer team has 14 girls and 16 boys. How many different boy-girl practice partners can be arranged?
45. If you roll a die and flip a coin, how many possible outcomes are there?
46. There are 7 students in a class:5 boys and 2 girls.If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a boy?
47. Billy has 54 marbles. 10 are blue, 9 are green, 25 are red, and 10 are yellow. What is the probability of drawing out a yellow marble?
48. How many ways can a club of 10 students elect a president, vice president, secretary, and treasurer?
49. What is the total number of words that can be formed using the letters in the word 'MARCH'?
50. The batting order for seven players on a 12-person team. How many ways can the selection be made?
51. True or False:Permutations are used to count in situations where order is important. Combinations are used to count in situations where selection, not order, is important.
52. A group of 5 students is to be seated in a row. How many different seating arrangements are possible?
53. Using all the letters of the word GIFT how many distinct words can be formed?
54. You are setting the combination on a three-digit lock. You want to use the numbers 123 but don't care what order they are in. Is this a permutation or a combination?
55. NJ license plates have 3 letters followed by 4 numbers. If the same letter cannot be repeated, how many can be made?
56. Jess wants to arrange 9 different books on a shelf. There are 4 mathematics books, 3 physics books and 2 chemistry books. Find the number of different possible arrangements of the books if all the mathematics books are kept together and all the physics books are kept together.
57. The Nebraska license plate has 6 characters, each one filled with a number (0-9) or a letter. How many license plates are possible?
58. If you roll two dice, how many possible outcomes?
59. How many different ways can 5 books be arranged on a shelf?
60. Is the order of arrangement important? Find the number of ways to form a team of three players for a game out of a group of 10 individuals.
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