1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vlabodo [156]
3 years ago
8

Dj Jacqueline is making a playlist for a friend: she is trying to decide what 15 songs to play and in what order they should be

played. If she has her choices narrowed down to 10 pop. 25 reggae, and 10 blues songs, and she wants to play an equal number of pop. reggae, and blues songs, how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place
Mathematics
1 answer:
Tasya [4]3 years ago
3 0

Answer:

4.4 * 10^21

Step-by-step explanation:

Given :

Number of pop, n(p) = 10

Number of reggae, n(r) = 25

Number of blues, n(b) = 10

Total number of songs to select (n) = 15

If she wants equal Number if the 3 genres

Each genre will have : 15/3 = 5 songs each

Hence,

(10C5 * 25C5 * 10C5) * n!

Combination formula :

pCr = p! / (p-r)! r!

Using calculator to save computation time :

(10C5 * 25C5 * 10C5) * n!

(252 * 53130 * 252) * 15!

= 4412050844368527360000

= 4.4 * 10^21

You might be interested in
Please help thank you
worty [1.4K]

Answer:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

7 0
3 years ago
Which angle is the smallest?
svetoff [14.1K]
Angle A is the smallest.
It's truly simple; The triangle's smallest side is 10 units (used for unknown units of measurements). Angles A and E are both acute angles, however, angle E is larger due to side AD being larger than side ED. So, the angle has to widen in order to reach the full length.
3 0
3 years ago
Prove that n^2 > 2n + 1 for all natural numbers n >= 3
mafiozo [28]

{n}^{2}  - 2n - 1 > 0
n = 3 >  > 9 - 6 - 1 = 2 > 0
suppose the following is true
7 0
3 years ago
What is the value of x which proves that the runways are parallel? What is the measure of the larger angle? (evidently the answe
romanna [79]
I feel like the answer is C
3 0
3 years ago
12.589 en numeros romanos
inysia [295]
XII should be your answer.
8 0
4 years ago
Other questions:
  • Find the sum 7/8 + 2/4
    13·2 answers
  • What is the domain of square root x+6 substract 7
    5·1 answer
  • Why is 1/2 of 2 equal to one whole
    7·1 answer
  • On #15, how do I find the length of EF
    14·1 answer
  • what are the domain and range of the following functions? write your answer using inequality symbols if possible
    15·1 answer
  • An animal shelter spends $2.35 per day to care for each cat and $5.50 per day to care for each dog. Pat noticed that the shelter
    15·1 answer
  • Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. At one
    8·1 answer
  • Jenna has a bag that contains 7 red marbles and 25 blue marbles. She selects a marble at random, and then, without replacing the
    6·1 answer
  • What is the solution to the following system??<br>A) (2.5,0)<br>B) (5,1)<br>C) (0,2)<br>D) (1,5)​
    13·1 answer
  • HELP ME PLEASE I REALLY COULD USE IT BRAINLY GOES TO THE CORRECT ANSWER
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!