DJ Mykel is making a playlist for a radio show; he is trying to decide what 14 songs to play and in what order they should be played. Step 1 of 2 : If he has his choices narrowed down to 7 hip-hop, 5 jazz, 7 pop, and 8 blues songs, and he wants to play no more than 3 hip-hop songs, how many different playlists are possible

Answers

Answer 1

Answer:

5878600 different playlists.

Step-by-step explanation:

Since we require 14 songs for the playlist and there are 7 hip-hop, 5 jazz, 7 pop, and 8 blues songs, and DJ Mykel wants to play no more than 3 hip-hop songs, the number of ways in which he can combine the 7 hip-hop songs to play no more than 3 is ⁷C₃ = 7!/4!3!.

Now, since we have 3 songs already selected, we are left with 14 - 3 = 11 songs to select.

Since we have selected the 3 hip-hop songs, we are left with 5 jazz, 7 pop, and 8 blues songs which sum to a total of 20 songs.

So, we have 20 songs to select in 11 ways which is ²⁰C₁₁ = 20!/(20 - 11)!11! = 20!/9!11!

So, the number of different playlists that can be formed is thus

⁷C₃ × ²⁰C₁₁ =  7!/4!3!.× 20!/9!11!

= 35 ×  167960

= 5878600 different playlists.


Related Questions

SOMEONE PLEASE PLEASE HELP ME

Answers

Answer:

taking cos

co62=b/h

cos 62=x/12

0.46947x12=x

so, x = 5.633

rounding off

x= 6

Answer:

x = 6.0

Step-by-step explanation:

Formula For Cos: cos (angle°) = adjacent/hypotenuse

Angle = 62

Adjacent = x

Hypotenuse = 12

cos (angle) = adjacent/hypotenuse

cos (62) = x/12

0.67350716232 = x/12

0.67 = x/12 (Rounded to make further calculations simpler)

12(x/12) = 12(0.67)

x = 8.04

x = 6.0 (Rounded to nearest tenth)

Therefore, x = 6.0

Hope this helped! <3

Can you guys answer it in number order for 4 its same as previous numbers

Answers

Answer:

9

Step-by-step explanation:

i think i saw that

15x+98=105 What is the value of x and please show your work. :) ​

Answers

Answer:

15x+98=105

      -98    -98

15x=7

/15    /15

x=7/15

Step-by-step explanation:

x=7/15

The graph of a proportional relationship is given along with an equation for a difference relationship. Which situation has a greater unit rate?
•A
• B
•C

Answers

Answer:

I think its C

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

yo welcome....

NANNIIII?!

A chef had 4/5 pound of ground beef to make burgers. Each burger was made with 1/8 pound of ground beef. Chris says that the chef can make 7 full burgers and Trisha says that the chef can only make 6 full burgers

Answers

Answer:

6

Step-by-step explanation:

If you divide 4/5 divided by 1/8 you get 6.4. Therefore, you can only make 6 full burgers.

3(3) + 3(2/3)......................

Answers

3 (3) + 3 (2/3) = 11

2x+3y=5x-y
Complete the missing value in the solution to the equation.

Answers

Answer:

Ur answer is in the screenshot :)  

Step-by-step explanation:

1. Subtract 2x2x from both sides. 3y=5x-y-2x

3y=5x−y−2x

2. Simplify  5x-y-2x5x−y−2x  to  3x-y3x−y.

3y=3x-y

3. Add yy to both sides.3y+y=3x

3y+y=3x

4. Simplify  3y+y3y+y  to  4y4y. 4y=3x

4y=3x

5. Divide both sides by 33.\frac{4y}{3}=x34y=x

6. Switch sides.x=\frac{4y}{3}

x= 34y! Hope this helped!! :))

3. The graph at the right shows
Lanna's total distance in miles
for each day she is training for a marathon. What is her distance on
day 10?
A.21 miles C.30 miles
B. 27 miles D.33 miles

Answers

Answer:

30 miles

Step-by-step explanation:

there is three miles per day so u count by 3 up to ten days and you’ll get 30 (10,30) option c

Can somebody help me on this ?

Answers

Answer:

drag the protactor so that the the bottom, middle line is centered in point B, and the bottom edge is flat against line BC

the angle will be whatever number AB lines up with on the outer ring (the big numbers)

Step-by-step explanation:

Solve for the missing side to the nearest tenth.
16
30
X =

Answers

Answer: x=32

Step-by-step explanation:

Because a triangle is 180°, the missing angle in the triangle would be 60°.

Because of the 30°-60°-90° angles theorem, The side opposite 90° is double the side opposite 30°, which means that x=32.

Express the following numbers as a ratio between an integer and a natural number:
1 and 2/5, 0.3, -3 and 1/4, -27, 0

Answers

9514 1404 393

Answer:

7/53/10-13/4-27/10/1

Step-by-step explanation:

The mixed numbers can be expressed as improper fractions in the usual way. The integer portion can be expressed as a multiple of the fraction denominator divided by itself.

Integers can be expressed as a ratio with 1 as the denominator.

1 2/5 = (1×5/5) +2/5 = (5+2)/5 = 7/5

0.3 = three tenths = 3/10

-3 1/4 = -(3×4/4 +1/4) = -(12+1)/4 = -13/4

-27 = -27/1

0 = 0/1

Multiply: 14.3 x 0.5. SHOW YOUR WORK!

Answers

14.3x0.5 =7.15  all you have to do is line them up or do it old fashion way

In a group of 120 people. each person has a dog, a cat, or a bird. The frequency table shows how many people have each kind of pet. complete a relative frequency table to show the distribution of the data with respect to all 120 people.

Answers

Answer:

25%    19.2%  45.0%

18.3%   16.7%   34.0%

11.7%     8.3%    20.7%

55.8%   44.2%   100%

Step-by-step explanation:

What is the solution to this system
1) y = -6x - 17
-2x + 3y = -11

Answers

Answer:

{y, x} = {-5, -2}

The nth term of a sequence is n²+1. What is the 9th term?

Answers

Replacing 9 for the nth term of the sequence we get 9^2 + 1 = 82, Therefore the 9th term is = 82

HELP WILL GIVE BRIANLIEST
Which of the following best demonstrates the Distributive Property?


3 ( 2+ 4) = 4 ( 3+2)

4 ( 5 + 2) = 10 + 2

4 (5 + 6) = 4 * 11

3 + 6 + 2 = 2 + 3 + 6

Answers

Answer:

The 2nd equation

g Which statement is correct? Group of answer choices A sample size of 1 is never acceptable. Judgment sampling is preferred to systematic sampling. Cluster sampling is useful when strata characteristics are unknown. Sampling without replacement introduces bias in our estimates of parameters.

Answers

Answer:

A sample size of 1 is never acceptable

Explanation:

A sample size of 1 is simply not statistically significant enough as to reach close to accurate conclusions based on sample data. Statistical tests using just one data point may not be enough to test data variability. Axrule of thumb or best practice is to have at least 10% sample size from the population. It is advised to have at least a sample size of 100 sayvpopulation is 1000 to be able to reach more valid conclusions from sample data.

What is 10 divided by 5/8

Answers

Answer:

its 16 lol

Step-by-step explanation:

I just did the math

16

16 is the answer
hope i helped. have a good day

George lost 12 1/4 kilograms on his diet. How
many grams did he lose?

Answers

12250 grams. i converted it to a decimal the moved it 3 spots to the right

Answer: 12250 Grams

Step-by-step explanation:

1 Kilogram = 1000 grams.

12 Kilograms x 1000 Grams = 12000 Grams.

1/4 = 0.25

0.25 Kilograms x 100 Grams = 250 Grams

12000 + 250 = 12250.

Answer: 12250 Grams.

Helppppppppppp me i need the answer

Answers

Answer:

Step-by-step explanation:

i think its embryonic

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $53,533. The variable costs will be $12.50 per book. The publisher will sell the finished product to bookstores at a price of $24.25 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Answers

9514 1404 393

Answer:

  4,556

Step-by-step explanation:

Revenue from the sale of n books is ...

  R = 24.25n

Production cost for n books is ...

  C = 53533 +12.50n

These are equal for ...

  24.25n = 53533 +12.50n

  11.75n = 53533

  n = 53533/11.75 = 4556

The publisher must produce 4556 books so sales will equal production cost.

Write a multiplication sentence to find of the rectangle by moving numbers to the line

Answers

Answer:

caca

Step-by-step explanation:

Hey what is 1x2+4 +5

Answers

Answer:

11....................

Answer:

11

Step-by-step explanation:

Cassie bought 3/8 pound of peanuts and 1/4 pound of cashews in make mixed nuts. Use the numbers to compare the amounts of peanuts and cashews Cassie bought.

Answers

Answer:

Cassie bought 0.375 pounds of peanuts and 0.250 pounds of cashews, that is, she bought 50% more peanuts than cashews.

Step-by-step explanation:

Since Cassie bought 3/8 of a pound of peanuts and 1/4 of a pound of cashews, to determine the comparison between both nuts the following calculation must be performed:

3/8 = pounds of peanuts

0.375 = pounds of peanuts

1/4 = pounds of cashews

0.250 = pounds of cashews

Therefore, Cassie bought 0.375 pounds of peanuts and 0.250 pounds of cashews, that is, she bought 50% more peanuts than cashews.

halp meh pls :'(
(screenshot below)

Answers

Answer:

the correct answer is answer choixe number 1

In equation form. What goes through the points (0, 4) and (2, 7)?

Answers

Answer:y=1.5x+4

Step-by-step explanation:

Which pair of expressions is equivalent? A. 4x – 12 and 3(x – 3) e B. 2x B. 2(x + 3) + 1 and 2x + 6 C. 11x – 4 + 2x and 13x - 4 D. X-5 - 10x and -11% - 5​

Answers

Answer: C

Explanation: 11x-4+2x is equal to 13x-4

Graph the linear equation.


y+4=25(x−3)

Answers

Answer:

Attached

Step-by-step explanation:

y+4=25(x−3)

y = 25x - 79

The graph of the linear equation y + 4 = 25 (x + 3) is given below.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

y + 4 = 25 ( x + 3)

Some coordinates on the graph are:

When x = 0,

y + 4 = 175

y = 175 - 4

y = 171

When x = 1,

y + 4 = 25 (1 + 3)

y = 100 - 4

y = 96

Now,

The graph is given below.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

For #4 is that the correct answer I just want to know before I submit it

Answers

The answer is 3 1/4 which is last choice

I SHAT MY PANTS HELP OMG

Answers

Answer:

Change your pants

.... um chile anyways

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