Algebra 2 Name______
Assignment______
1. Graham has 5 shirts, 3 ties, and 4 pairs of pants. If he wears a shirt, a tie, and a pair of pants, in
how many different outfits can he appear?
2. A car can be made in 7 different colors, with or without anti-lock brakes, with or without leather
seats, with or without keyless entry, and with or without a sunroof. Find the number of different
models that could be created.
3. How many seven-letter passwords can be formed from the letters I, L, U, V, A, C, T if letters can
be repeated in the password?
4. How many seven-letter passwords can be formed from the letters I, L, U, V, A, C, T if letters
cannot be repeated in the password?
5. How many license plates can be formed using a letter followed by five digits (the digits may
repeat)?
6. How many license plates can be formed using three letters followed by two digits when repetition
is not allowed?
7. A photographer lines up the 13 players of a basketball team in a single line to take a team photo.
How many different ways can the photographer arrange the team for the picture?
8. A men’s department store sells 3 different suit jackets, 6 different shirts, 8 different ties, and 4
different pairs of pants. How many different suits consisting of a jacket, shirt, tie, and pants are
possible.
9. Your chores for the week are to cut the grass, wash the car, clean your room, clean the garage,
and shine your shoes. You are to do 1 chore each day from Monday through Friday. You can do
each chore on whatever day you want, except that you must wash the car either Thursday or
Friday. In how many different orders can you perform your chores?
Evaluate the following expressions. You MUST show work. You MAY NOT simply use the special buttons in your calculator.
10. 5! 11. 4! · 6! 12. 5(3!)
13. 14. 15.
16. 17. 18.
19. 20. 21.
Use the space provided below to write out the first 10 rows of Pascal’s Triangle. If you have room, feel free to write out more!
Using the Pascal’s Triangle you created, find the following number of combinations.
22. 23. 24. 25.
26. 27. 28. 29.
Determine if you need to use a permutation or combination. Then solve.
30. An employee at a pet store needs to catch 5 tetras in an aquarium containing 27 tetras. In how many groupings can the employee capture 5 tetras?
31. Fifty-two athletes are competing in a bicycle race. In how many orders can three of the bicyclists finish in first, second, and third?
32. Sixteen people are competing in a pie baking contest. In how many orders can two of the people place first and second?
33. You plan to visit four stores to shop. In how many orders can you visit these stores?
34. At Hollywood Video, 14 DVDs are on sale. How many different ways could you choose 3 of them to buy?
35. How many different all-star teams of 9 members can be formed from a group of 14 talented players?
36. You are required to read 5 books from a list of 12 great American authors. How many groups can be selected?
37. How many ways can you arrange 10 books on a shelf?
38. An ice cream parlor has a choice of 12 different toppings. You can afford exactly 4 toppings. How
many different types of sundaes can you order?
39. Eight members of a school marching band are auditioning for 3 majorette positions. In how many
ways can students be chosen?
40. Thirty-five students are running in a 5-km race. How many ways can the runners finish in 1st, 2nd,
and 3rd place?
41. In how many ways can 4 infielders and 3 outfielders be chosen for a ball team from 7 infielders and 6 outfielders?
42. A bucket at Fireside Florists contains 8 carnations, 5 daisies, and 4 roses. How many bouquets can be made with 2 carnations, 1 daisy, and 2 roses?
For #43-45, find the indicated probability.
43. The probability that a student prefers pizza.
44. The probability that a student prefers a sub
45. The probability that student prefers a cheeseburger or
pizza.
Given the probability of an event, state the odds.
46. 47. 48.
49. 50. 51.
Given the odds of an event, state the probability.
52. 8:3 53. 2:3 54. 20:1
55. 17:23 56. 5:9 57. 6:11
Use the spinner to find the probability of each outcome.
58. Landing on C 59. Landing on B or F
60. Not landing on E 61. Landing on a letter in the alphabet
62. Landing on S 63. Not landing on C or D or A
If one piece of candy is chosen from a bag containing 3 yellow candies, 5 blue candies, 10 red candies, and 2 green candies, then find the probability and odds of getting...
64. a yellow candy 65. a blue or red candy 66. not a green candy
Prob:______Prob:______Prob:______
Odds:______Odds:______Odds:______
If one card is drawn at random from a standard deck of cards, then find the probability of drawing…
67. a red king 68. a 4 69. a face card 70. a spade
Answers
1. 60 2. 112 3. 823,543 4. 5040 5. 2,600,000
6. 1,404,000 7. 6,227,020,800 8. 576 9. 48 10. 120
11. 17,280 12. 30 13. 2,520 14. 1,980 15. 990
16. 24 17. 60,480 18. 17,297,280 19. 56 20. 715
21. 35 22. 2 23. 6 24. 10 25. 15
26. 35 27. 1 28. 56 29. 84 30. 80,730
31. 132,600 32. 240 33. 24 34. 364 35. 2,002
36. 792 37. 3,628,800 38. 495 39. 56 40. 39,270
41. 700 42. 840 43. 44. 45.
46. 3:2 47. 2:5 48. 1:1 49. 12:5 50. 4:1
51. 3:7 52. 53. 54. 55.
56. 57. 58. 59. 60.
61. 1 62. 0 63.
64. Prob: Odds: 3:17 65. Prob: Odds: 3:1 66. Prob: Odds: 9:1
67. 68. 69. 70.