Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk, and chair.


(a) How many ways can this be done, if the order of the choices is relevant?


?


(b) How many ways can this be done, if the order of the choices is not relevant?

Answers

Answer 1

Answer:24 , 4

Step-by-step explanation:

Given

There are 4 objects

(a)When the order is relevant

We use permutation to get the no of ways, that is

Choosing 3 objects out of 4

[tex]^4P_3=\dfrac{4!}{(4-3)!}=\dfrac{4!}{1!}\\^4P_3=24[/tex]

(b) When the order is not important, the same thing can be done in

[tex]^4C_3\ \text{ways}\\\\\Rightarrow \dfrac{4!}{1!3!}=4\ \text{ways}[/tex]


Related Questions

Jim wants to buy a new tablet for his homework. His budget is $350. If the tablet costs $330 plus 4.5% sales tax, can he buy it for $350 or less?​

Answers

Answer:

Yes, he can buy it for $350 or less

Step-by-step explanation:

330.00 x 4.5%

330.00 x 0.045 = 14.85

330.00 + 14.85 = 344.85

or

330.00 x 1.045  = 344.85

2/3+1/12 what's the answer

Answers

Answer:

3/4 or 9/12 make the denominators the same then just add

Answer:

9/12 or simplified as 1/4

Step-by-step

2×4/3×4 + 1/12

= 8/12 + 1/12

= 9/12

= 1/4

A woman is rowing a boat across a 60 wide river from west to east. She can row at 2 mph in still water, but the river's current is 5 mph from north to south. To the nearest foot, how far downstream on the east bank will she land?

Answers

Answer:

S, and the other day. I have been a while. I have a great drea the most important things. The may have to pay a fee of the most popular and I will not 66 the most of the most of my life. I was a bit of the best, but the 15th. I have been a while. I am your what is happening in the next couple days 6 the most of the most of the most

Step-by-step explanation:

popular and I will not be hurt by a friend of the day, and the other side, I think I have a great drea, I think I have been a while. I have been in touch. Thanks for the next day delivery. We have a great drea the same time. I was just the right place for the use of the most of the most popular and I am a beautiful person. The comments for your email.

The woman will land on the east bank of the river at a downstream of 37.5 miles.

What is meant by relative velocity ?

Relative velocity of an object in motion is defined as the velocity of the object with respect to another object.

Here,

Width of the river, W = 60 miles

Velocity of the boat in still water, Vb = 2 mph

Velocity of river, Vr = 5 mph

Relative velocity of the boat with respect to river in downstream,

Vbr = Vb + Vr

Vbr = 8 mph

Drift of the boat, d = Vr W/Vbr

d = 5 x 60/8

d = 37.5 miles downstream

Hence,

The woman will land on the east bank of the river at a downstream of 37.5 miles.

To learn more about relative velocity, click:

https://brainly.com/question/19260269

#SPJ3

Observa las siguientes imágenes formadas por círculos:

Figura 1 (un circulo) Figura 2 (5 círculos)

-¿Cuántos círculos tendrá la Imagen 10?
-¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7? ¿Puedes saberlo sin necesidad de encontrar la cantidad de círculos de cada imagen? ¿Cómo?

Answers

1.En 10 figuras habrá 37 puntos si te fijas en las imágenes lo único que hace es agregar 4 puntos a cada uno como la tercera imagen tiene 9 puntos hize 9 + 7x 4= 37
2.la imagen 12 tendrá 45 puntos y la 7 tendrá 25 puntos
La diferencia de puntos entre la figura 7 y 12 serán seran 20 puntos
-si lo pude saber sin la necesidad de encontrar la cantidad de los círculos de las imágenes porque cada ves vamos agregando 4 puntos

Veremos que en la imagen 10 hay 37 circulos, y la diferencia entre las imagenes 12 y 7 es de 20 circulos.

¿Como encontrar el patrón?

Primero, debemos contar la cantidad de circulos que tenemos en las imagenes mostradas.

En la primera, tenemos 1 circulo.En la segunda, hay 5 circulos.En la tercera, hay 9 circulos.En la cuarta, hay 13 circulos.

Entonces podemos ver que en cada imagen se agregan 4 circulos, es decir tenemos una secuencia aritmetica, de tal forma que la imagen número N tendremos:

[tex]C_N = 1 + (N - 1)*4[/tex]

Entonces, cuantos circulos hay en la imagen 10? para ver eso reemplazamos N por 10.

[tex]C_{10} = 1 + (10 - 1)*4 = 37[/tex]

¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7?

Para ver esto calculamos:

[tex]C_12 - C_7 = (1 + (12 - 1)*4) - (1 + (7 - 1)*4) = 11*4 - 6*4 = 20[/tex]

Es decir, la image 12 tiene 20 circulos más que la imagen 7.

Sí quieres aprender más sobre secuencias, puedes leer:

https://brainly.com/question/7882626

log(x+4)=logX + log4

Answers

Answer:

log

(

x

+

4

)

=

log

(

x

)

+

log

(

4

)

=

log

(

4

x

)

, so  

x

+

4

=

4

x

, hence  

x

=

4

3

Step-by-step explanation:

Find the equation parallel to y = -x - 5 and passing through (-3, -3)

Answers

Answer:

y = -x - 6

Step-by-step explanation:

If it's parallel, then it means that the slope will remain the same. The slope is

-1.

To find the y-intercept, you need to plug the coordinates into the equation,

y = -1x + b

-3 = -1(-3) + b

-3 = 3 +b

-6 = b

The equation is y = -x - 6

The lenght of a turtles shell z, in millimeters, is related to the turtles age in years a , as described by the equation below.
s=55a+37
Which statements about the turtle are true?
Select 3

Answers

Answer:

B, C , F

Step-by-step explanation:

The age multiplied 55, so the shell grows at rate of 55mm per year

in fact if the age is 2 we have (55 x 2) = 55 + 55

if 3 = (55 x 3) = 55 + 55 + 55

and so on

When the turtle is hatched the shell is 37 mm in lenght.

In fact, if we substitute 0 to a, we have

s = (55 x 0) + 37

s = 37

when the turtle is 1 year old, the shell is 92 mm in length.

in fact if we substitu a with 1, we have

s = (55 x 1) + 37

s = 55 + 37

s = 92

(HALP ILL GIVE BRAINLY AND IS A MULTIPLE CHOICE) no links or I will report

Answers

Answer: the correct answer is answer (4) (2,4)

Step-by-step explanation:

I hope you get it right :)

X-15>-20
Please help first answer gets brainliest

Answers

Answer:

x > -5

Step-by-step explanation:

hope this helps :)

Answer:

x>-5

Step-by-step explanation:

X-15>-20

Add 15 to both sides;

x-15+15=>-20+15

simplify

x>-5

Hope this helped!

Helped by none other than the #QUEEN herself  aka # DrippQueenMo

23 points!!!!!!

If the first 2 sides of a triangle are 6 cm and 4 cm, which of the following are possibilities for the other side? Choose all that apply.


2.5 cm


2 cm


1 cm


4 cm

Answers

Answer:

2.5cm and 4cm

Step-by-step explanation:

According to Triangle Inequality Property:

Measurement of any two sides of the triangle should be greater than the third side

So,

For 2.5,

6 + 4 = 10 > 2.5

4 + 2.5 = 6.5 > 6

6 + 2.5 = 8.5 > 4

For 4,

6 + 4 = 10 > 4

4 + 6 = 10 > 4

4 + 4 = 8 > 6

While for 1 and 2,

4 + 1 = 5 < 6

and

4 + 2 = 6 = 6

Hence,

Only 2.5 and 4 are the possible measurements.

In an alloy of gold and silver the ratio of the metals is 6:4. How much gold is there in 200 grams of this alloy?​

Answers

Answer:

120 gold is in the alloy

Step-by-step explanation:

G:S

6:4

6+4=10

200/10=20

20*6=120

Hope this helps!

PLEASE HELP ME I WANT TO PASS THIS CLASS AND GRADUATE WILL GIVE BRAINLIEST

A recent study of high school students shows the percentage of females and males who have at LEAST one notation in their school record for inappropriate behavior. A simple random sample of high school students was interviewed. The students were asked whether they had a notation for inappropriate behavior in their school record. Of the 100 females, 21 answered yes, as did 145 of the 400 males.

Part A: Construct and interpret a 99% confidence interval for the difference in population proportions of females and males who have at LEAST one notation for inappropriate behavior. Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s). (8 points)

Part B: Does your interval from part A give convincing evidence of a difference between the population proportions? Explain. (2 points)

Answers

lol the handwriting hurts

Answer:

other person!

Step-by-step explanation:

give the other person brainliest; hope you pass the class!

Please please help me I will give brainileist

Answers

Answer:

26

Step-by-step explanation:

Average = all the numbers added together then divided by the amount of numbers in the equation

21+24+25+25+26+26+26+26+27+29= 255

Since there are ten numbers in this equation, divide the sum by 10

25.5

round up

26

What is the area, measured in square meters, of the parallelogram shown?
Round to the nearest tenth, if necessary.

Answers

Answer:

A = (11 m)(4.33 m) = 47.6 m^2

Step-by-step explanation:

The width of this parallelogram is (5 m)(sin 60 degrees), or approximately 4.33.  This is the length of the dashed line shown.

The area of this parallelogram is A = (length)(width), which here is:

A = (11 m)(4.33 m) = 47.6 m^2

Answer:

55

Step-by-step explanation:

i think

please help, need help asap!

Answers

The correct answer is letter C

Help me out, math is irritating

Answers

Answer:

67958.93228

Step-by-step explanation:

HELP ASAPPP! I WILL GIVE BRAINLEST TO THE RIGHT PERSON

Answers

Answer:

E and H are the correct answers

Step-by-step explanation:

HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
3. Use the information about the m<2 and m determine the missing information.
m22 = 97°
m26 = 83°
m
2
5
m2 3 =
m2 5 =
3
4
7
8
m210 =
m2 7 =
9
10
13
14
m2 9 =
m216 =
$
11
12
15/16

Answers

Answer:

m<3 = 97

m<10 = 97

m<9 = 83

m<5 = 97

m<7 = 83

m<16 = 97

Step-by-step explanation:

m<3 = m<2 because of vertical angles

m<10 = m<2 because of corresponding angles

m<9 + 97 = 180

m<9 = 83

m<5 + 83 = 180

m<5 = 97

m<7 = m<6 because of vertical angles

m<16 = m<5 because of alternate exterior angles.

Is "three less than a number" equivalent to "the difference of three and a number?"
Explain your answer.

Answers

I’ll use “x” as “a number”

So it’s basically asking if-

X-3=X-3

Obviously the answer is yes.
X-3 is equal to X-3.

pls help help help help help help ​

Answers

Answer:

-89

Step-by-step explanation:

-89

-89= 10(-7) - 19   ----------->  -70 - 19

somebody answer i need Help​

Answers

Answer:

$5.00

Step-by-step explanation:

$5 because it occurs the most

Answer:

$5

Step-by-step explanation:

The mode is the price that appears the most often in a given list.

if a hockey ticket regular cost $25 and the sale price cost $20

Answers

Answer:

The sale price would be 20% off.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

PLEASE HELP THANK YOU

Answers

Answer:

thanks you too for having us

2/5 of the flowers in Veronica's garden are marigolds. If there are 55 flower plants in her garden, how many marigold plants does she have?

Answers

Answer:Veronica has 22 marigold plants

Step-by-step explanation:

Total Number of flower plants in her garden=55

fraction of flower plants which are marigolds=2/5

Number of flower plants which are marigolds=2/5 x Total Number of flower plants in her garden

=2/5 x 55

=22

Arthur went to dinner. The meal cost $157 and
he wants to leave an 18% tip. How much money
should he leave for the tip?

Answers

Arthur should leave a $28.26 tip

A marine biologist measured one fish that was 9/10 of a foot long and a second fish that was 7/10 of a foot long. How much longer was the first fish?

Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

2/10 of a foot long.

Step-by-step explanation:

Answer:

The first fish was 1/3 of a foot longer.

mark me brainlest

Step-by-step explanation:

1/2=3/6

3/6>1/6

3/6-1/6=2/6

2/6 / 2/2

1/3

You have $5.60 to buy avocados for a guacamole recipe. Avocados cost $1.40 each.

Answers

Answer:

You could buy 4 avacodos with how much money you have :)

You can buy 4 avocados

a+b=8
3a - 45=3

And is it good for the elimination method

Answers

Answer: a is 16, b is -8

Step-by-step explanation:

3a-45=3

add 45 to both sides to get rid of -45

3a=48

divide both sides by 3

a = 16

plug 16 into the first equation

16 + b = 8

subtract 16 from both sides

b = -8

is it good for the elimination method? hmm i probably wouldn't use it in this case since there aren't any variables to cancel out.

Can somebody help me with one of these i literally don’t get it.

Answers

Answer:

basically multiply the height and the base (area), using the two numbers shown. Just add for perimeter. Just use a calculator, no one really cares about doing it them selves

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 5 people at a party. They decide to share 3 ice cream sandwiches equally.
Which model shows how much of the ice cream sandwiches each person will get?
C.
D

Answers

Answer:

your answer will be D. I think :)

Answer: d

i have the test

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