Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Evaluate  . A. | 1 209 600 | C. | 120 | B. | 720 | D. | 604 800 |
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2.
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Solve for the variable:  A. | 5 | C. | 9 | B. |  | D. |  |
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3.
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After the tryouts for the volleyball team, the coach selects 16 people to join
the team. Due to a problem with transportation, only 10 people can travel. In how many ways can the
coach pick the people to go?
A. | 29 059 430 400 | C. | 8008 | B. | 960 | D. | 160 |
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4.
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Rachael has a digital music player that holds 700 songs. She has 1400 songs in
her music library. She decides that her 50 favourite songs must be on the player. Which expression
can be used to calculate the number of ways can she load songs on to the MP3 player so that it is
full?
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5.
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Jenni and Hari go to a local Chinese restaurant for dim sum. If there are 18
items on the menu, and Jenni orders 7 items and Hari orders 11 items, which expression represents the
total number of choices between them?
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6.
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For which of the following terms is a = 84 in the expansion of (x
+ y)9?
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7.
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Determine the 5th term in the expansion of  .
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8.
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Prom’s friend gives him a row of Pascal’s triangle and asks which
row it comes from. Prom adds the numbers and obtains a sum of 262 144. Which row do the numbers come
from?
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9.
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Suppose that 12 non-collinear points are plotted on a plane. Which expression
represents the number of triangles that can be formed using these points?
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10.
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While at the dollar store, Peter finds 17 items at $1 each that he wants, but he
only has $4. The number of ways he could select which items to buy is
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Short Answer
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1.
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Josie goes to the local submarine sandwich shop. She can choose from 21 types of
sandwiches. There are 3 types of cheese, 8 types of vegetables, and 7 types of sauce. Assuming that
Josie only chooses one type of cheese, one vegetable, and one sauce for her sandwich, how many
choices does she have?
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2.
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A neon sign with the words “Espresso Coffee” on it has 5 letters
burnt out. In how many ways can you select 3 good letters and 2 burnt-out letters?
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Problem
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1.
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Expand and simplify:  .
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2.
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The chorus of a play has 17 females and 13 males. The director wishes to meet
with 6 of them to discuss the upcoming production.
a) How many selections are
possible?
b) How many selections are possible if the group consists of three females and
three males?
c) One of the male students is named Ajay. How many six-member selections
consisting of Ajay, two other males, and three females are possible?
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3.
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a) If all of the letters in the word ROCKING are used, how many
arrangements can be made with all of the vowels together?
b) Which word has the greater
number of different arrangements: CATCHPHRASE or MISSISSIPPI?
c) Is it possible to create a
word whose letters can be arranged with exactly 20 possible different arrangements? If so, explain
how.
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