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

Volume? Correct answers please

Answers

Answer:

V = 1385.44

Step-by-step explanation:

The equation for volume is V = π r 2 h! Where V = volume, r = radius (half the diameter), and h = height. Now lets substitute what we know into this equation!

Since we are giving the diameter (14) we must divide by 2 to find the radius.

                         14 ÷ 2 = 7

Radius = 7

Height = 9

V = ?

Time to plug these values in!

V = π [tex]7^{2}[/tex] (9)

We have to distribute pi to 7 square that term and then multiply the value by 9.

V = 1385.44

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Kayla drew 2 numbered cards from a deck. When she added the numbers, their sum was 12. One number was twice as big as the other one. What 2 cards did she draw out?

Answers

Answer:

4 & 8

Step-by-step explanation: hope this helps :)

Please help ASAP thanks:)!!!!!

Answers

Answer:

I think its

Step-by-step explanation:

left second one

Help!! Solve 1 1/4 + 5 5/6

Answers

Answer:

7 2/24

Step-by-step explanation:

We can start by making the denominators the same (the bottom number)

1 1/4+5 5/6

1 6/24+ 5 20/24=7 2/24

Answer:

so what you would want to do is get your fraction into improper fractions and to do that you multiply the whole number by the denominator and add it to your numerator, once you do that you get 5/4, and 35/6, now we want to get common denominators, so we multiply 5/4, by 6/6, and 35/6 by 4/4 which would get us 30/24 and 140/24 then we add them and get 170/24 and then simplify, which gets you 85/12 and then put it into a mixed number which is 7 1/12

Step-by-step explanation:

I NEED HELP ASAPP!!
Jefferson is working on a planting a garden and set up a coordinate system with units of feet to mark where he wants to plant vegetables. He plants carrots at (–4, 4) and at beans at (4, –2). How far apart are the carrots and beans?

Answers

Answer:

They are 6 feet apart.

Step-by-step explanation:

d = (√(x2-x1)^2 + (y2-y1)^2)

d = (√(-4-4)^2 + (4-(-2))^2)

d = (√0 + 36)

d = √36

d = 6

If you get a student loan for $2,000 at 8% interest, what is the simple interest for one year?

Answers

You would have a simple interest of 2 with a simp

A cliff diver is 64 feet above the surface of the water. The formula for calculating the height (h) of the diver after t seconds is h = -16t2 + 64t How long does it take for the diver to hit the surface of the water?

Answers

Answer:

2 seconds

Step-by-step explanation:

math

Jimmy is comparing prices of bottled drinks. He finds one bottle of water that costs $1.65 and contains 11 ounces. He then finds one bottle of soda that costs $2.52 and contains 14 ounces. Which bottle costs less per ounce?

Answers

Answer:

The bottle that costs less per ounce is the 11 ounce

Step-by-step explanation:

First you have to divide each ounce by the cost to find out how much each ounce costs.

1.65 divided by 11 is 0.15 and 2.52 divided by 14 is 0.18.

Hope this helps!

multiply and find the volume

Answers

Answer:

195 cubic centimeters (cm^3)

Step-by-step explanation:

sorry it's late

Activity
Andrew is paid $4 per hour for the first 30 hours he works each week. He makes $5 per hour for each hour he works over 30 hours per week. In
other words, total wages = fixed wages for 30 hours + additional wages at $5 per hour.
Apply function notation to answer the following questions about Andrew's wages.
Part D. How does the function notation in this example compare with the standard notation

Answers

Answer:

Step-by-step explanation:

For the first 30 hours, Andrew will earn 4(30) = $120.  For each additional hour beyond 30 that Andrew works, he will earn 5(h - 30).  Therefore, the function that gives Andrew's total wages when he works more than 30 hours is:

 

w = 120 + 5(h - 30).  

 

So, if he works 35 hours, he will earn:

 

120 + 5(35 - 30) = 120 + 5(5) = 120 + 25 = $145.

 

If he works 42 hours, he will earn:

 

120 + 5(42 - 30) = 120 + 5(12) = 120 + 60 = $180.

 

I hope this helps!

pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you

Answers

Answer:

2) -47, 33, -243, 907, -88

4) C & D

5) 30, 45, 0, -10

6) B

Answer:

1.)-47

33

-243

907

-88

2.)c, d

3.)Lighthouse=45

HELP PLEASE WILL MARK BRAINLIEST

Answers

Answer: I think 8?

Step-by-step explanation:

You might be adding the 6 so therefore maybe you do 6+2= 8 if the median was eqaul to 6.

If this isnt right, I'm sorry!

Answer: 1

The set is:

6 1 5 4 8 7 2 1 2 2

First: We get the median of the original set. To do this we change it from highest to lowest.

1 1 2 2 2 4 5 6 7 8

Then we take the middle number of this set which is the median

2 and 4 are the middle so the median is 3

The median of set 1 is 3

Second: We get the median of the set but with another 6 added

1 1 2 2 2 4 5 6 6 7 8

Take the middle number of this set which is the median

4

The median of set 2 is 4

From this we know the median increases by 1 if the number 6 is added!

Which fraction is equivalent to the fraction below?
18/24

Answers

Answer:

6/8 , 12/16 , 48/64

Step-by-step explanation:

6/8 12/16 48/64 is the answers if you need more reply

Solve. 40 = -10x + 20

Answers

X=-2 hope this helped :)

Answer:

hi

Step-by-step explanation:

40= -10x+20

40-20= -10x

20= -10x

x=20/-10

x=-2

hope it helps

have a nice day

Ron drew an angle that measured 160 degrees. Then he drew a ray that divided the angle in half. What is the measure of each of the new angles formed?

is it

A. 180°

B. 160°

C. 80°

D. 60°

Answers

The answer is C because it’s 160 and when you split it in half it would be 80/80 bc 80+80= 160

What is the slope of (10,3) and (2,3)

Answers

Answer:

m=0

Step-by-step explanation:

the formula given for slope (m) calculated from two points is given as (y2-y1)/(x2-x1)

we are given the points (10,3) and (2,3)

label the values of the points to use for the formula:

x1=10

y1=3

x2=2

y2=3

plug into the formula

m=(3-3)/(2-10)

subtract

m=0/-8

divide

m=0

therefore, the slope is 0

Hope this helps! :D

0/-8

i’m not very good at explaining but that is the answer ^^

The door has marbles in it 3/10 of the marbles are red 5/10 of the marbles are blue two tenths of the marbles are green which of these fractions is equivalent to 4/8

Answers

Answer:

5/10

Step-by-step explanation:

4/8 =1/2

5/10=1/2 so that it

PLEASE HELP ASAPPPP!!!!!!!!

Answers

Answer:

slope: 1.25

Part B: The order in which the points are given does not change the value of the slope

Step-by-step explanation:

Part A. Given two points we can find slope using the slope formula

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Given the points ( -6, 1/2) and ( -4,3 )

We plug in the y values and x values (starting with the last point give )

[tex]m=\frac{3-.5}{-4-(-6)} \\3-\frac{1}{2} =2.5\\-4-(-6)=2\\\frac{2.5}{2} =1.25\\[/tex]

so we can conclude that the slope of a line that passes through the points ( -6, 1/2) and ( -4,3 ) is 1.25

Part B. The order in which the points are given does not change the value of the slope

Observe -

* flip the order in which the points are given *

given (-4,3) and (-6,1/2)

we use the same formula

*plug in the y and x values starting with the last point*

[tex]m=\frac{.5-3}{-6-(-4)} \\.5 - 3=-2.5\\-6-(-4)=-2\\\frac{-2.5}{-2} =1.25[/tex]

The slope still equals 1.25 meaning that the order in which the points are given does not matter.

If the loss incurred on selling an article is 7/20 of the cost price, then find the loss percentage.​

Answers

Answer: The loss percentage = 65%

Step-by-step explanation:

Let x be the cost price.

As per given,

Selling price = [tex]\dfrac{7}{20}x[/tex]

Loss =Cost price - Selling price

[tex]=x-\dfrac{7}{20}x\\\\=\dfrac{20-7}{20}x\\\\=\dfrac{13}{20}x[/tex]

The loss percent = [tex]\dfrac{loss}{Cost\ price}\times100[/tex]

[tex]=\dfrac{\dfrac{13}{20}x}{x}\times100\\\\=\dfrac{13}{20}\times100\\\\=13\times5\%\\\\=65\%[/tex]

Hence, the loss percentage = 65%

8. A truck is carrying peach juice, pear juice,
and grape juice bottles in a ratio of 4:3:5. If
there are 76 peach juice bottles, then how many
pear juice bottles are there?

Answers

Answer:

57 pear juices

Step-by-step explanation:

because we know we have 76 peach juices and the ratio is 4, so we get 19.  This means that 19=x.  And then we multiply 19 by 3 and we get 57.  

Can someone help me with this geometry volume question ty

Answers

I’m pretty sure it would be B

Please please ASAP ASAP please ASAP thank you so much please
No links or files please

Answers

Answer:

(0, 3)

Step-by-step explanation:

Y axis changes and x axis stays the same

If who answers fast, correct and first, I WILL GIVE YOU THE BRAINLIEST!!!!!!!!!!!

Answers

Answer:

Is A.

Step-by-step explanation:

22 < 7x+57

7x+57>22

7x>-35

x>-5


Find the arc length. Leave your answer in terms of pie no links

Answers

Answer:

7/2[tex]\pi[/tex]

Step-by-step explanation:

1) Which of the following expressions has a constant of 7 and a coefficient of 3? 3117 73 7 +3 3 + 72​

Answers

Answer: 3x+7

Step-by-step explanation:

2 please help. i will give brainlies and 50 points. if you use my points without an answer i will have your account deleted and i will report you.

Answers

Answer: Area: 5808 Primiter: 308

Answer:

Answer: A-Area: 5808 Primiter: 308

B-Area is needed

Step-by-step explanation:

What’s 300(6+20)-120?

Answers

Answer: 7680

Step-by-step explanation:

Answer:

7,680

Step-by-step explanation:

Okay, so we use PEMDAS right, so we start with the parenthesis:

6 + 20 = 26

300 x 26 = 7,800

7,800 - 120 = 7,680

So 300(6+20)-120=7,680

hope this helps:)

Object B has a mass of 10kg. Object b collides with another object. If the momentum of object b after collision is 18kg•m/s18kg.m/s, its volocity is_____m/s

Answers

Answer:

Step-by-step explanation:

Please answer correctly and no links pls

Answers

Answer: 13.) 49,  14.) 64

Step-by-step explanation:

7x7=49, 8x8=64

pls help me a little quick problem!! ty :)

Answers

Answer:

(8-b)/6

Step-by-step explanation:

give me Brainllest Plz

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