Name: 
 

Math 12F LG 9-10 Practice Quiz #2



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 different flavours?
A.
3481
B.
3540
C.
3600
D.
3660
 

 2. 

How many possible ways can you draw a single card from a standard deck and get an even number?
A.
13
B.
20
C.
21
D.
26
 

 3. 

How many different permutations can be created when 7 people line up to buy movie tickets?
A.
49
B.
128
C.
720
D.
5040
 

 4. 

Evaluate.
3P1
A.
1
B.
2
C.
3
D.
6
 

 5. 

How many different routes are there from A to B, if you only travel north or east?
mc005-1.jpg
A.
100
B.
250
C.
400
D.
350
 

 6. 

The numbers 10 to 16 are written on identical slips of paper and put in a hat. How many ways can 2 numbers be drawn simultaneously?
A.
21
B.
15
C.
30
D.
42
 

 7. 

A fun fair requires 4 employees to work at the sack bar. There are 13 people available. How many ways can a group of 4 be chosen?
A.
1000
B.
715
C.
635
D.
808
 

 8. 

Evaluate.
mc008-1.jpg
A.
130
B.
126
C.
122
D.
118
 

 9. 

Euchre is played with a deck of 24 cards that is similar to a standard deck of 52 playing cards, but with only the ace, 9, 10, jack, queen, and king for all four suits.
How many different four-card hands are there with at least three hearts?
A.
375
B.
926
C.
3336
D.
10 626
 

 10. 

Euchre is played with a deck of 24 cards that is similar to a standard deck of 52 playing cards, but with only the ace, 9, 10, jack, queen, and king for all four suits.
How many different five-card hands are there with at least three clubs?
A.
375
B.
926
C.
3336
D.
10 626
 

Short Answer
 

 1. 

A theatre is showing 2 action movies, 3 comedies, 3 dramas, 2 horror movies, and 2 foreign films. How many choices does Sophia have if she does not want to watch an action movie or a horror movie?
 

 2. 

Evaluate.
sa002-1.jpg
 

 3. 

A phys-ed teacher needs 3 equal teams for an activity. How many different ways can his class of 21 students be divided evenly into 3 teams?
 

Problem
 

 1. 

Consider the word NUMBERS and all the ways you can arrange its letter using each letter only once.
a) One possible permutation is ENBRUMS. Write three other possible permutations.
b) Use factorial notation to represent the total number permutations possible. Explain why your expression makes sense.
 

 2. 

Three vehicles are taking a choir of 25 students to a recital. A minibus can take 16 students, an SUV can take 6 students, and the remaining 3 students can ride with the choirmaster. How many ways can the 20 students be assigned to the 3 vehicles? Show your work.
 



 
Check Your Work     Start Over