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
sergiy2304 [10]
2 years ago
8

You are getting a line-up ready for a school kickball game. You have 4 girls and 4 boys. The rules state each child must kick th

e same number of times and alternate girl-boy or boy-girl. How many ways can a line-up be made for one round of kicking?

Mathematics
1 answer:
tatuchka [14]2 years ago
6 0

Answer:

So the total number of  ways  in which the line-up can be made is 2880 ways.

Step-by-step explanation:

Please refer the attached figure for reference.

Now, there are 4 girls and 4 boys and  we are asked to find the number of  ways in which they can be lined up alternately.

That basically means that there should be a boy next to a girl in the arrangement.

So, at first we will arrange the 4 boys ( at B positions in the figure ), and that can be done in 4! ways.

Now, there are 5 positions ( 5 blue dots in the figure ), which can be taken by 4 girls, in such a way that the boys and girls are placed alternately.

So, 4 girls can take 5 positions in 5_P__4 ways.

So the total number of  ways  in which the line-up can be made = 4! x 5_P__4 = 24 x 120 = 2880 ways.

You might be interested in
Somebody pls help me with this
sweet [91]

Answer:

55 minutes

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIST

6 0
2 years ago
Read 2 more answers
I need help with this question.
Kitty [74]

i'm not sure how to solve the first one but the second is 150

4 0
3 years ago
Adina has a rectangular garden that measures 9 m wide by 13 m long. She wants to
MrRissso [65]
9*13=117
12*16=192

We increased three meters to both the length and width of the garden.
6 0
3 years ago
Read 2 more answers
Is -2.25 - (-3) a positive number
Zielflug [23.3K]

Answer:

Yes it is

Step-by-step explanation:

The answer is 0.75

-2.25-(_3)

_2.25 +3

=0.75

6 0
3 years ago
Read 2 more answers
A triangle has one angle that measures 56° and one angle that measures 63º.
crimeas [40]

<h2>sum of a triangle= 180°</h2>
  1. 63+56=119
  2. 180-119=61
  3. ans=61°
7 0
2 years ago
Other questions:
  • 5, –20, 80, <br><br> The geometric sequence?
    12·1 answer
  • 11 POINTS WILL &amp; PICK BRAINLIEST ! Which rule describes the composition of transformations that maps figure ABCDE to figure
    6·1 answer
  • PLEASE HELP WILL GIVE BRAINLIEST!!!!!!! the exponential function, f(x)=2^x
    14·1 answer
  • Using the law of Sines, in triangle ABC, is angle C=145 degrees, b=7, c=33, what is angle B
    11·1 answer
  • 15x + 9 = 3(2x - 6) PLease Help me Ive benn stuck on this
    6·2 answers
  • Solve for 5x i rlly need the answer ​
    10·2 answers
  • Find the area of a regular pentagon with a side of 10cm and an apothem of 6.9cm
    14·1 answer
  • What specific measure of a geometric figure is shown in the image?
    15·2 answers
  • A box plot is shown below:
    6·2 answers
  • Notebooks are on sale for $0.59 each. Belinda wants to buy 5 but she has only $3. What can Belinda do to find out how much money
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!