Name: 
 

Math 12F LG 9-10 Practice Quiz #1


Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
A restaurant offers 60 flavours of wings. How many ways can two people order two servings of wings, either the same flavour or different flavours?
A.
3481
B.
3540
C.
3600
D.
3660
 

 2. 
Evaluate.
8! + 1!
A.
40 321
B.
5041
C.
40 123
D.
16 777 217
 

 3. 
Evaluate.
(3!)2
A.
8
B.
9
C.
18
D.
36
 

 4. 
Solve for n, where n Î I.
mc004-1.jpg
A.
3
B.
4
C.
5
D.
6
 

 5. 
Suppose a word is any string of letters. How many three-letter words can you make from the letters in REGINA if you do not repeat any letters in the word?
A.
20
B.
16
C.
216
D.
120
 

 6. 
How many ways can 7 friends stand in a row for a photograph if Sheng always stands beside his girlfriend?
A.
1440
B.
5040
C.
360
D.
720
 

 7. 
How many different routes are there from A to B, if you only travel south or east?
mc007-1.jpg
A.
16
B.
24
C.
28
D.
56
 

 8. 
Which of the following is equivalent to mc008-1.jpg?
A.
mc008-2.jpg
B.
mc008-3.jpg
C.
mc008-4.jpg
D.
mc008-5.jpg
 

 9. 
Identify the term that best describes the following situation:
Determine the number of arrangements of six friends waiting in line for movie tickets.
A.
permutations
B.
combinations
C.
factorial
D.
none of the above
 

 10. 
Identify the term that best describes the following situation:
Determine the number of ways three horses can finish first, second, and third in a race of 12 horses.
A.
permutations
B.
combinations
C.
factorial
D.
none of the above
 

Short Answer
 

 1. 
Solve for n, where n Î I.
sa001-1.jpg
 

 2. 
Evaluate.
sa002-1.jpg
 

 3. 
How many ways can the top four cash prices be awarded in a lottery that sold 150 tickets if each ticket is not replaced when drawn?
 

Problem
 

 1. 
A conveyor belt sushi restaurant lets you choose what to eat from different-coloured plates that go by. You pay based on the colours of the plates.
After dinner, Claire has 3 red plates, 2 yellow plates, 1 green plate, and 3 blue plates. How many ways can she stack her plates in a single tower? Show your work.
 

 2. 
A hockey team is preparing for a group photo. The team has 1 goalie, 4 defense, and 7 forwards. The photographer wants two rows of six players. How many ways can the team arrange six players in the front row with at most 2 defense? Show your work.
 



 
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