How many ways are there to choose a soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the players are chosen from 9 forwards, 7 midfield players, and 7 defensive players?

Answers

Answer 1

Using the combination formula, it is found that there are 37,044 ways to form the soccer team.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

3 forwards are taken from a set of 9.4 midfielders are taken from a set of 7.3 defenders are taken from a set of 7.

Since they are independent of each other, the total number of combinations is given by:

[tex]T = C_{9,3} \times C_{7,4} \times C_{7,3} = \frac{9!}{3!6!} \times \frac{7!}{3!4!} \times \frac{7!}{3!4!} = 37,044[/tex]

There are 37,044 ways to form the soccer team.

More can be learned about the combination formula at https://brainly.com/question/25821700

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Related Questions

35% of 40 is what?
55% of what number is 44?

Answers

Answer:

14

80

Step-by-step explanation:

Answer:

Step-by-step explanation:

35% of 40 is 14

55% of 80 is 44

What is the surface area of the square pyramid?



Enter your answer in the box.


in²

Square pyramid net consisting of a square and four triangles. The square has length and width of eight inches. A triangle has a base of eight inches and a height of eleven inches.

Answers

Answer:

  240 in²

Step-by-step explanation:

The surface area of the pyramid is the sum of the areas of the parts of the composite figure comprising the net. That is, it is the sum of the areas of four triangles and a square.

__

Face

The area of a triangle is ...

  A = 1/2bh

For the given triangles, this is ...

  A = 1/2(8 in)(11 in) = 44 in²

__

Base

The area of the square base is ...

  A = s²

For the given dimensions, this is ...

  A = (8 in)² = 64 in²

__

Total Surface Area

The sum of the areas of the four faces and the base is ...

  total area = 4(44 in²) +64 in² = 240 in²

The surface area of the square pyramid is 240 in².

Doug would like to construct a fence
along his property borders. The scale
on his property map is 1 inch to 3 feet.
If the perimeter of his property on the
map is 10 inches, how many feet of
fencing will he need?
[?] feet

Answers

He would need 30 feet of fencing.

he would need 30 feet of fencing

Select the correct answer

Answers

Answer:

B.

Step-by-step explanation:

it's B because if you put it as a mixed number it would be 21/2 ÷ 9/4 and then the rest is easy

Answer:

B

Step-by-step explanation:

4 2/3

Pls help what is the ratio and how do you find it​

Answers

Answer:

1:1

Step-by-step explanation:

AM= a and MB= b

But M is the midpoint,

Therefore,

a= b (AM= MB)

AM + MB = AB

2AM = AB

AM= AB/2

RATIO OF AM to MB

=

AB/2 : AB/2

= 1:1

The room is a cube with edge length 11 feet including the ceiling in the floor how much surface area must be painted

Answers

Answer: 726cm squared

Surface area is the area of all the faces added together.

If the area of one face is 11x11=121

Because it is a cube and it has six faces with the same surface area we do 121x6=726 to give us the total surface area.

Add This Equation: In Photo...​

Answers

Answer:

see below

Step-by-step explanation:

=   (5+7) / ( z+1)   =   12 / (z+1)

How much should John get back after paying for purchases totaling $5.45
when he pays $10.00

Answers

It should be $4.55. Start out with doing this. If you need any farther explanation let me know.

A ring-shaped region is shown below.
Its inner diameter is 14 yd., and its outer diameter is 20 yd.

Answers

Answer:

160.14yd²

Step-by-step explanation:

first we find both of their areas then we subtract the small one f4om the big one

A=πr²

step 1 find area of large circle

A=3.14×(10²)

A=3.14×100

A=314

step 2 find are of small circle

A=3.14×(7²)

A=3.14×49

A=153.86

step 3 subtract small area from big area

314-153.86=160.14

A series of transformations on quadrilateral Y
resulted in quadrilateral Z. The angle measures of
quadrilateral Y are congruent to those of
quadrilateral Z. The side lengths of quadrilateral
Z are twice as long as those of quadrilateral Y.
Which transformation on quadrilateral Y must be
included to result in quadrilateral Z?

Answers

Answer:

reflections Couse it keeps repeating y and z bit not sure

Step-by-step explanation:

I am sorry if it is the wrong answer

calculate the shaded area

Answers

Answer:

42 cm²

Step-by-step explanation:

the length of the shaded area is the length of the white rectangle, that is

length = 7 cm

the width of the blue area is the length of the white rectangle subtract twice the width of the white rectangle, that is

width = 7 - (2 × 0.5) = 7 - 1 = 6 cm

shaded area = length × width = 7 × 6 = 42 cm²

Please Help!!! . . . . .

Answers

PEMDAS. parenthesis, exponents, multiple or divide (whichever come first from left to right), add or subtract (whichever comes first from left to right)

So first do stuff in parenthesis.
Then do divide because thats next on the list and it happens earlier than the multiply one.

So, A

Use the model to write the equation that represents the problem. I have one-half of a square and I want to divide it by three-fourths. How many pieces would I have? A) 1 2 ÷ 3 4 = 2 B) 1 2 ÷ 3 4 = 3 C) 1 2 ÷ 3 4 = 2 3 D) 1 2 ÷ 3 4 = 3 2

Answers

Answer:

my oppositions C) 1 2÷3 4=2 3

I'm not sure how to find a Wrighteasyrement so how do I find it.

Answers

Response

I'm assuming that by 'wrighteasyrement' you meant weight measurement? If you need a conversion tool you can just look up ___ to ___ on (g-search engine). If you need the initial one, use a scale??? or a formular, you can also look those up, sorry, i'm not really sure what you're asking.

Find x if USR is supplementary to RST.

Answers

Answer: 8

Step-by-step explanation:

1. Find the sum.
Use tiles to find 29 + 28.

Answers

Answer:

57?

Step-by-step explanation:

If y=x+4 then what is (x-y)^3

Answers

Answer:

64

Step-by-step explanation:

y = x + 4

y - x = 4

4^3 = 64

A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer choices - a, b, c, d, e-
and only one correct answer. What is the probability that he answered neither of the problems correctly?
Do not round your answer.
0
X
?

Answers

Answer: The student answerd the problems wrong because he guessed instead of taking his time to correctly get the right answer.

Step-by-step explanation:

What is the simple interest rate on a $520
investment that was left in an account for Z
years and earned $83.72 in interest?

Answers

16 2/3 or 16.6 repeated percent

what statement best describes the relationship between the side lengths and angle measures of teo triangles

Answers

Answer:

Figure RST is congruent to figure R’S’T’.

Step-by-step explanation:

There are 600 dishes that need to be rinsed. Eric can rinse them in 60 minutes by himself. It will take his friend Reuben 120 minutes to rinse these dishes. How long will it take them if they rinse these 600 dishes together?

Answers

I believe 3 hours, not sure. Wait and see if someone else answers!

Fill in the blanks of the sentence.

Answers

Answer:

Step-by-step explanation:

Two angles that are vertical are supplements of the same angle which means the two angles are congruent to each other.

you have -$124 in your checking account. you wrote a $75 dollar check how much money do you have in your account now

Answers

Answer:

There will be 49 dollars in your account

if two angles in a triangle are 50 and 40, it must be a/an___________________triangle.

Answers

Answer:

right triangle

Step-by-step explanation:

Hey there!

A triangle has to have three vertices that add up to 180 degrees

The angle measurments 50 and 40 are already given and added up, they equal 90 degrees

Now out of 180 degrees, 90 degrees is already shown

What you need to do now is try to find how much more degrees you need to get 180 degrees

As you know 180-90=90

So this means that the missing angle is 90 degrees

Now that we know this, we can find out what type of triangle this is

Since the triangle has an angle that is equal to 90 degrees, or it has a right angle, the triangle can be called a right triangle

A right triangle is a triangle that has an angle that is equal to 90 degrees

So this triangle is a right triangle

Please help i have an assignment due TODAY i need to get this done
rules:
NO LINKS! im not getting myself a virus

Answers

Answer: diameter

Step-by-step explanation:

Answer:

diameter

Step-by-step explanation:

The diameter connects two points on the edge of a circle through it's centre.

Which of the following is the graph of y = negative (x minus 2) cubed minus 5?

Answers

Step-by-step explanation:

(x-2)^3 = x^3-6x^2+12x-8

-(x^3-6x^2+12x-8)=

-x^3+6x^2-12x+8

-x^3+6x^2-12x+8 -5=

y=-x^3+6x^2-12x+3

I attached the picture

Answer:

NOT D graph 4

Step-by-step explanation:

Is 1/8 x 20 greater than or less than 20? Please explain!

Answers

Answer:

1/8x20 is less than 20

Step-by-step explanation:

Since we know that 1x20 is equal to 20, and 1/8 is 8 times smaller than 1, we know that 1/8x20 is 20 divided by 8 which is smaller than 20

A right triangle is shown. What is the value of x? Round to the nearest tenth.

Answers

Step-by-step explanation:

B²=a²+c²

12²=4.2²+c²

144=16.4+c²

144-16.4=c²

127.6=c²

√127.6=√c²

11.3=c

Find the Value of X.
Solve for X

Answers

Answer: x=21

Step-by-step explanation:


50-90=40

40=2x-2

2*21=42

42-2=40

x=21

what is 26.4 ÷ 4.8 i need help

Answers

Answer:

Step-by-step explanation:

Answer: 5.5

Expand 26.4/4.8 by multiplying both numerator and the denominator by 10.

264/48

Reduce the fraction 264/48​ to lowest terms by extracting and canceling out 24.

11/2

Factor

11/2​=5 1/2​=5.5

hope this helps.

Mark me brainliest as well please.

Answer:

i know i said it in the text but it's 5.5

Step-by-step explanation:

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