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

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!

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!!

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

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

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?

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)

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:

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

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

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

x/5-g=a isolate x PLS

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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!

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

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!!

Please help me answer this

Answers

Answer:

the first.option is the right answer

Which rotation will carry a regular pentagon onto itself?

A.
216o

B.
120o

C.
50o

D.
60O

Answers

Answer:

b

Step-by-step explanation:

49.67 to the nearest ten

Answers

answer:

50

explanation:

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

Answers

The answer is 1540000

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

-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? :)

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!

--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 :)

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:

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

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

Answers

Answer:

.001 or 1 thousandth

Step-by-step explanation:

.01/10=.001

match the monomer to the correct macromolecule
​

Answers

fatty is cybrhydrtae macromolecules

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

Answers

You need to include more information

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

Answers

Answer:

3x^2+x-2

Step-by-step explanation:

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.

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

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

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