Name: 
 

Math 12F LG 9-10 Practice Quiz #3


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. 
The dinner special at a restaurant offers you a choice of 8 entrees, 2 salads, 5 drinks, and 3 desserts. How many different meals are possible if you choose one item from each category?
A.
360
B.
380
C.
420
D.
480
 

 3. 
Solve for n, where n Î I.
mc003-1.jpg
A.
13
B.
15
C.
17
D.
18
 

 4. 
Evaluate.
mc004-1.jpg
A.
15
B.
18
C.
30
D.
36
 

 5. 
How many ways can 3 representatives be chosen from a soccer team of 16 players?
A.
1120
B.
560
C.
3360
D.
1580
 

 6. 
Which of the following is equivalent to mc006-1.jpg?
A.
mc006-2.jpg
B.
mc006-3.jpg
C.
mc006-4.jpg
D.
mc006-5.jpg
 

 7. 
Identify the term that best describes the following situation:
Determine the number of two-card hands you can be dealt from a standard deck of 52 cards.
A.
permutations
B.
combinations
C.
factorial
D.
none of the above
 

 8. 
How many ways can the 6 starting positions on a hockey team (1 goalie, 2 defense, 3 forwards) be filled from a team of 2 goalies, 4 defense, and 7 forwards?
A.
420
B.
500
C.
858
D.
1716
 

 9. 
Ten friends on bicycles find an empty bike rack with exactly ten spots for bikes. How many ways can the ten bikes be parked so that Elsa and Rashid are parked next to each other?
A.
362 880
B.
725 760
C.
2 177 280
D.
2 000 000 000
 

 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. 
How many different arrangements can be made using all the letters in YELLOWKNIFE?
 

 2. 
Evaluate.
sa002-1.jpg
 

 3. 
From a standard deck of 52 cards, how many different three-card hands are there with at most one ace?
 

Problem
 

 1. 
Consider the word PERMUTE and all the ways you can arrange its letter using each letter only once if the first letter is E.
a) One possible permutation is EPRETUM. Write three other possible permutations.
b) Use factorial notation to represent the total number permutations possible. Explain why your expression makes sense.
 

 2. 
How many different five-card hands that contain at most two face cards (jack, queen, or king) can be dealt to one person from a standard deck of playing cards? Show your work.
 



 
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