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In a city election, there are 2 candidates for mayor, and 3 for supervisor. Use a tree diagram to find the number of ways to fill the two offices.

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There are 4 roads from Town A to Town B, 2 roads from Town B to Town C. Use a tree diagram to find the number of ways one can travel from Town A to Town C.

8

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Brown Home Construction offers a selection of 3 floor plans, 2 roof types, and 2 exterior wall types. Use a tree diagram to determine the number of possible homes available.

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For lunch, a small restaurant offers 2 types of soups, three kinds of sandwiches, and two types of soft drinks. Use a tree diagram to determine the number of possible meals consisting of a soup, sandwich, and a soft drink.

12

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A California license plate consists of a number from 1 to 5, then three letters followed by three digits. How many such plates are possible?

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A license plate consists of three letters followed by three digits. How many license plates are possible if no letter may be repeated?

15,600,000

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How many different 4-letter radio station call letters can be made if the first letter must be K or W and none of the letters may be repeated?

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How many seven-digit telephone numbers are possible if the first two digits cannot be ones or zeros?

6,400,000

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How many 3-letter word sequences can be formed using the letters a , b , c , d size 12{ left lbrace a,b,c,d right rbrace } {} if no letter is to be repeated?

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A family has two children, use a tree diagram to determine all four possibilities.

BB, BG, GB, GG

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A coin is tossed three times and the sequence of heads and tails is recorded. Use a tree diagram to determine the different possibilities.

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In how many ways can a 4-question true-false test be answered?

16

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In how many ways can three people be made to stand in a straight line?

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A combination lock is opened by first turning to the left, then to the right, and then to the left again. If there are 30 digits on the dial, how many possible combinations are there?

27,000

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How many different answers are possible for a multiple-choice test with 10 questions and five possible answers for each question?

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Permutations

Do the following problems using permutations.

How many three-letter words can be made using the letters a , b , c , d , e size 12{ left lbrace a,b,c,d,e right rbrace } {} if no repetitions are allowed?

60

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A grocery store has five checkout counters, and seven clerks. How many different ways can the clerks be assigned to the counters?

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A group of fifteen people who are members of an investment club wish to choose a president, and a secretary. How many different ways can this be done?

210

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Compute the following.

  1. 9P2 size 12{9P2} {}

  2. 6P4 size 12{6P4} {}

  3. 8P3 size 12{8P3} {}

  4. 7P4 size 12{7P4} {}

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In how many ways can the letters of the word CUPERTINO be arranged if each letter is used only once in each arrangement?

362,880

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How many permutations of the letters of the word PROBLEM end in a vowel?

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How many permutations of the letters of the word SECURITY end in a consonant?

25,200

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How many permutations of the letters PRODUCT have consonants in the second and third positions?

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How many three-digit numbers are there?

900

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How many three-digit odd numbers are there?

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In how many different ways can five people be seated in a row if two of them insist on sitting next to each other?

48

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Questions & Answers

the diagram of the digestive system
Assiatu Reply
allimentary cannel
Ogenrwot
How does twins formed
William Reply
They formed in two ways first when one sperm and one egg are splited by mitosis or two sperm and two eggs join together
Oluwatobi
what is genetics
Josephine Reply
Genetics is the study of heredity
Misack
how does twins formed?
Misack
What is manual
Hassan Reply
discuss biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles
Joseph Reply
what is biology
Yousuf Reply
the study of living organisms and their interactions with one another and their environments
AI-Robot
the study of living organisms and their interactions with one another and their environment.
Wine
discuss the biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles in an essay form
Joseph Reply
what is the blood cells
Shaker Reply
list any five characteristics of the blood cells
Shaker
lack electricity and its more savely than electronic microscope because its naturally by using of light
Abdullahi Reply
advantage of electronic microscope is easily and clearly while disadvantage is dangerous because its electronic. advantage of light microscope is savely and naturally by sun while disadvantage is not easily,means its not sharp and not clear
Abdullahi
cell theory state that every organisms composed of one or more cell,cell is the basic unit of life
Abdullahi
is like gone fail us
DENG
cells is the basic structure and functions of all living things
Ramadan
What is classification
ISCONT Reply
is organisms that are similar into groups called tara
Yamosa
in what situation (s) would be the use of a scanning electron microscope be ideal and why?
Kenna Reply
A scanning electron microscope (SEM) is ideal for situations requiring high-resolution imaging of surfaces. It is commonly used in materials science, biology, and geology to examine the topography and composition of samples at a nanoscale level. SEM is particularly useful for studying fine details,
Hilary
cell is the building block of life.
Condoleezza Reply
what is cell divisoin?
Aron Reply
Diversity of living thing
ISCONT
what is cell division
Aron Reply
Cell division is the process by which a single cell divides into two or more daughter cells. It is a fundamental process in all living organisms and is essential for growth, development, and reproduction. Cell division can occur through either mitosis or meiosis.
AI-Robot
What is life?
Allison Reply
life is defined as any system capable of performing functions such as eating, metabolizing,excreting,breathing,moving,Growing,reproducing,and responding to external stimuli.
Mohamed
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Source:  OpenStax, Applied finite mathematics. OpenStax CNX. Jul 16, 2011 Download for free at http://cnx.org/content/col10613/1.5
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