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?
|
|
|
2.
|
How many possible ways can you draw a single card from a standard deck and get
an even number?
|
|
|
3.
|
How many different permutations can be created when 7 people line up to buy
movie tickets?
|
|
|
4.
|
Evaluate. 3P1
|
|
|
5.
|
How many different routes are there from A to B, if you only travel north or
east?
|
|
|
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?
|
|
|
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?
|
|
|
8.
|
Evaluate. 
|
|
|
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?
|
|
|
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?
|
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. 
|
|
|
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.
|