# 0.11 Sets and counting: homework  (Page 2/5)

 Page 2 / 5

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.

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

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.

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

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?

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

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?

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

6,400,000

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

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

BB, BG, GB, GG

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

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

16

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

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

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

## Permutations

Do the following problems using permutations.

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

60

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

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

Compute the following.

1. $9P2$

2. $6P4$

3. $8P3$

4. $7P4$

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

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

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

25,200

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

How many three-digit numbers are there?

900

How many three-digit odd numbers are there?

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

where we get a research paper on Nano chemistry....?
what are the products of Nano chemistry?
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
how did you get the value of 2000N.What calculations are needed to arrive at it
Privacy Information Security Software Version 1.1a
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If March sales will be up from February by 10%, 15%, and 20% at Place I, Place II, and Place III, respectively, find the expected number of hot dogs, and corn dogs to be sold
8. It is known that 80% of the people wear seat belts, and 5% of the people quit smoking last year. If 4% of the people who wear seat belts quit smoking, are the events, wearing a seat belt and quitting smoking, independent?
Mr. Shamir employs two part-time typists, Inna and Jim for his typing needs. Inna charges $10 an hour and can type 6 pages an hour, while Jim charges$12 an hour and can type 8 pages per hour. Each typist must be employed at least 8 hours per week to keep them on the payroll. If Mr. Shamir has at least 208 pages to be typed, how many hours per week should he employ each student to minimize his typing costs, and what will be the total cost?
At De Anza College, 20% of the students take Finite Mathematics, 30% take Statistics and 10% take both. What percentage of the students take Finite Mathematics or Statistics?