Multiple Choice
Identify the choice that best
completes the statement or answers the question.
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1.
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Eve can choose from the following notebooks:
• lined pages come in
red, green, blue, and purple
• graph paper comes in orange and black
How many
different colour variations can Eve choose if she needs one lined notebook and one with graph
paper?
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2.
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A restaurant offers 60 flavours of wings. How many ways can two people order two
different flavours?
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3.
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Evaluate. 
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4.
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Solve for n, where n Î I. 
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5.
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Solve for n.
nP4 = 120
A. | n = 5 | B. | n = 6 | C. | n =
7 | D. | n = 8 |
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6.
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Evaluate. 
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7.
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Evaluate.  A. | 840 | B. | 6720 | C. | 13
440 | D. | 1680 |
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8.
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How many different routes are there from A to B, if you only travel south or
east?
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9.
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There are 14 members of a student council. How many ways can 4 of the members be
chosen to serve on the dance committee?
A. | 1001 | B. | 2002 | C. | 6006 | D. | 24 024 |
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10.
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How many ways can the 6 starting positions on a hockey team (1 goalie, 2
defense, 3 forwards) be filled from a team of 1 goalie, 4 defense, and 8 forwards?
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Short Answer
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1.
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How many ways can you select 2 different flavours of ice-cream for a sundae if
there are 16 flavours available?
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2.
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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 no aces?
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3.
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From a standard deck of 52 cards, how many different three-card hands are there
with at most one ace?
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Problem
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1.
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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.
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2.
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A hockey team is preparing for a group photo. The team has 2 goalie, 6 defense,
and 8 forwards. The photographer wants two rows of eight players. How many ways can the team arrange
eight players in the front row with at least one goalie? Show your work.
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