Mathematics College

A DJ is preparing a playlist of 23 songs. How many different ways can the DJ arrange the first four songs on the​ playlist?

Answers

Answer 1

Answer:

Sample Response: The third DJ had (3r)/2 songs. Multiply r by 3 because the second DJ had 3 times as many as the first. Then divide that number by 2 because the third DJ has half as many.

Answer 2

DJ can arrange 88,55 times the first four songs on the playlist.

What is permutation and combination?

Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,

Given that,

DJ prepares a playlist of 23 songs.

Since, DJ arranges the first four songs on the playlist,

The ways to arrange the song on the playlist,

= [tex]^{23}C_4[/tex]

= 23 ! / (4! x (23 - 4)! )

= 23 ! / (4! x 19!)

= (23 x 22 x 21 x 20 x 19!) / (4 x 3 x 2 x 1  x 19!)

= 23 x 11 x 7 x 5

= 8855

There are 8,855 ways to arrange first 4 songs.

To know more about Permutation and Combination on:

https://brainly.com/question/13387529

#SPJ2

Related Questions

Please help me answer this

Answers

Answer:

the first.option is the right answer

--0.5x – 3 = 4 anybody know the awnser what does x =

Answers

x=-14 may i please get brainliest :)

Answer:

- 14

Step-by-step explanation:

Step 1:

- 0.5x - 3 = 4      Equation

Step 2:

- 0.5x = 7        Add 3 on both sides

Step 3:

x = 7 ÷ - 0.5      Divide

Answer:

x = - 14

Hope This Helps :)

Tim's holds a fishing line at the surface of a lake, and it sinks 10 feet below the surface of the water. Tim then pulls the lure up 4 feet.which of the following statements about this situation are true?select all that apply

Answers

Answer:

Where are the answers to choose from?

Which rotation will carry a regular pentagon onto itself?

A.
216o

B.
120o

C.
50o

D.
60O

Answers

Answer:

b

Step-by-step explanation:

A stadium has 55,000 seats . Seats sell for $28 in Section A

Answers

The answer is 1540000

match the monomer to the correct macromolecule
​

Answers

fatty is cybrhydrtae macromolecules

does 9.03 + 10.71 – 6.8 =13.94

Answers

Answer:

No

Step-by-step explanation:

Let's break this down...

9.03+10.71 is 19.74 and subtracted by 6.8 it will be 12.94 not 13.94 so it is not correct

So the answer is No

Hope this helps!

Answer:

No, it is 12.94

Step-by-step explanation:

9.03 + 10.71 = 19.74, 19.74 - 6.8 = 12.94

Country A is ten to the third power times greater than Country B. Country A has a population of 230,000,000. What is the population Of Country B. Help Pls

Answers

hi! I am confident that the answer is 230,000 because if country A is 10^3 times greater it would have to be 230,000,000 divided by 1,000 since 10^3=1,000. Hope this helps


here is the equation I used: A=10^3+B

-3x/2+4=16
What is x?

Answers

Answer:

-8

Step-by-step explanation:

-4 both sides & 16-4 is 12.. -3/2x equals 12 so to solve for x, you would multiply 2 by both sides. You end w -3x equals 24. You then divide -3 both sides and 24/-3 is -8... hopee that helps? :)

9x - 4= 2x + 3
-—-——-—-

Answers

Answer:

x = 1

Step-by-step explanation:

9x−4=2x+3 Move all terms containing x to the left side of the equation.

7x−4=3 Move all terms not containing x to the right side of the equation.

7x=7 Divide each term by 7 and simplify. x = 1

Which relation is not a function?
Please help it is a quiz and I really need help! 5:06pm est answer as fast as you can!

Answers

Answer:

b

Step-by-step explanation:

B! is the right one!!

can you divide 2 by 9 explain your response​

Answers

Answer: Yes you can but it would be the same as dividing 10 by 3, it would just be a repeating fraction

Answer:

I can’t divide 2 by 9 because the number 9 is greater than 2. In other words, there are no 9s in 2

Step-by-step explanation:

Write an equation for a line parallel to y = 5x + 1 and passing through the point (3,11)

Answers

Answer:

Here's the parallel line: y = 5x - 4

4x-5 that will be the exact answer

49.67 to the nearest ten

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answer:

50

explanation:

please help me i give brainliest

Answers

Answer:

Step-by-step explanation:

1. 120+21=141

2. 21-3=18

3. 7x-21

4. 20+x

5. 45+4x

6. 40+5c

7. 20+22r+26s

It will be nice if you give me brainliest

Good luck!

Why did I get this wrong?

Answers

Step-by-step explanation:

12 / x¹⁴ = 12x⁻¹⁴

Integrate using power rule.

-12/13 x⁻¹³

-12 / (13x¹³)

You forgot the negative sign.

If You Know The Answer Help :)

Answers

Answer:

0.3

Step-by-step explanation:

Answer:

3/20

Step-by-step explanation:

1/5=4/20

7/20-4/20=3/20

Hope this helps!

Express as a trinomial.
(x + 1)(3x − 2)
PLEASE HELP :)

Answers

Answer:

3x^2+x-2

Step-by-step explanation:

Can someone help me with this math problem 34.2 divided by 7.6

Answers

4.5 is the answer for it
the answer is 4.5! hope this helps, good luck!!

A line has a y-intercept of 4 and a slope of 7. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=7x+4

Step-by-step explanation:

what is the area of a rectangles with the side lengths 5 inches and 4/3 inches?​

Answers

Answer: 20/3 square inches

Step-by-step explanation:

Area = length*width

length = 5 in.

width = 4/3 in.

A = 5 * (4/3) = 20/3 in^2

Find the volume common to two spheres, each with radius r, if the distance between their centers is r/2. [Hint: It may be helpful to look at the previous question and see how it relates to this one. ] intersectingspheres

Answers

Answer:

The volume common to two spheres is [tex]V=\frac{27 \pi r^3}{32}[/tex]

Step-by-step explanation:

Let r be the radius of each sphere

We are given that distance between their centers is [tex]\frac{r}{2}[/tex]

Let [tex](\frac{-r}{4},0)[/tex] be the center of sphere 1 and [tex](\frac{r}{4},0)[/tex]be the center of sphere 2 .

Using the disk points

a=0 and b =[tex]\frac{3r}{4}[/tex]

[tex](x+(\frac{r}{4}))^2+y^2=r^2\\V=2 \int_{0}^{\frac{3r}{4}} \pi y^2 dx\\V=2 \int_{0}^{\frac{3r}{4}} \pi [r^2-(x+(\frac{r}{4}))^2]dx\\V=\frac{27 \pi r^3}{32}[/tex]

Hence the volume common to two spheres is [tex]V=\frac{27 \pi r^3}{32}[/tex]

In attached diagram, we can see 2 circumferences with radius r, and separated centers by r/2.

The solution is:

V = (11/12)×π×r³

Let´s call circumferences  1 and 2, by symmetry, rotating area A will produce a volume V₁ identical a V₂, Obtained by rotating area B ( both around x-axis), then the whole volume V will be:

V = 2× V₁

V₁ = ∫π×y²×dx         (1)

Now

( x - r/2)²  +  y² = r²       the equation of circumference 1

y² = r² - ( x - r/2)²

Plugging this value in equation (1)

V₁ = ∫π×[  r² - ( x - r/2)²]×dx        with integrations limits    0 ≤ x ≤ r/2

V₁ = π×∫ ( r² - x² + (r/2)² - r×x )×dx

V₁ = π× [  r²×x - x³/3 + (r/2)²×x - (1/2) ×r×x²]    evaluate between 0 and r/2

V₁ = π× [(5/4)×r²×x - x³/3 - (1/2) ×r×x²]

V₁ =  π× [(5/4)×r² × ( r/2 - 0 ) - (1/3)×(r/2)³ -  (1/2) ×r×(r/2)²]

V₁ =  π× [ (5/8)×r³ - r³/24 - r³/8]

V₁ =  π× (11/24)×r³

Then

V = 2× V₁

V = 2×π×11/24)×r³

V = (11/12)×π×r³

Related Link : https://brainly.com/question/14301190

if Billy has three and four fifths of cake and Sam eats 2/3 of it how much cake does Billy have left ​

Answers

Answer:

3 and one third

Step-by-step explanation:

(3 1/3)

Please help ASAP
Thank you

Answers

If you are doing same change flip your answers are
A 2
B 4
C 3
D 4 simplified is 2
E 6 simplified is 3

x/5-g=a isolate x PLS

Answers

i assume isolate means to get x on its own? if so, here’s the answer:

x=5(a+g)

if i misunderstood isolate let me know!

If 120 customers have bought tickets today, how many free tickets has the manager given away

Answers

You need to include more information

What is 1 hundredth ÷ 10?
1 hundredth ÷ 10 =

Answers

Answer:

.001 or 1 thousandth

Step-by-step explanation:

.01/10=.001

Haper is saving money to buy a new camping tent. Each week he double the amount he saved the previous week. If he saved 1$ the first week how much will he save in 7 weeks

Answers

Answer: $49

Step-by-step explanation: if there are 7 days in a week and he is saving for 7 weeks, its 7 x 7= 49

Answer:

64$ if he doinles

Step-by-step explanation:

1,2,4,8,16,32,64

If f(x) = 7x, which of the following is the inverse of f(x)?
O A. f'(X) = x + 7
B. f1(x) = x - 7
O c. f'(x)
O d. f'(X) = 7x
SUBMIT

Answers

Answer:

x/7

Step-by-step explanatio

if a coin is flipped 4 times what is the probability of it landing on heads 3 times and tails 1

Answers

Answer:

(`1/4)^4

Step-by-step explanation:

Since the probability of landing on a head is theoretically the same as that of landing on tails, and since the four flips are entirely independent of one another, the desired probability is

(1/2)^4 or 1/16

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