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
Amiraneli [1.4K]
1 year ago
12

How many ways are there to choose a soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the pl

ayers are chosen from 8 forwards, 6 midfield players and 8 defensive players?
Mathematics
1 answer:
klio [65]1 year ago
7 0

Using the combination formula, it is found that there are 47,040 ways to form a soccer team.

<h3>What is the combination formula?</h3>

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

^mC_k = \dfrac{m!}{k! \times (m-k)!}

A soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the players are chosen from 8 forwards, 6 midfield players and 8 defensive players

Since they are independent of each other, the total number of combinations will be;

^mC_k = \dfrac{8!}{3! \times (5)!}  \times \dfrac{6!}{4! \times (2)!} \times \dfrac{8!}{3! \times (5)!} \\\\^mC_k =47,040

Hence, There are 47,040 ways to form a soccer team.

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

#SPJ1

You might be interested in
Find the area of a regular hexagon with a base of 15 and an apothem of 20.
seraphim [82]
Area of hexagon = base * (apothem/2) * 6 = 3(base*apothem)
=3*15*20
=900 square units.

However, a hexagon consists of 6 equilateral triangles in which the apothem is 0.866 times the base, meaning that the apothem is shorter than the base.
Perhaps the base is 20 and apothem 15.  The answer will come to be the same though.
7 0
3 years ago
The smaller triangle was dilated to form the larger triangle. What is the value of x? A smaller triangle has side lengths of 5,
Alenkasestr [34]

Answer:

the answer is 7.5

Step-by-step explanation:

took the quiz on edge ;-)

8 0
2 years ago
Read 2 more answers
1
Travka [436]

Answer:

Step-by-step explanation:

the answer is C

x^{2} \geq

3 0
2 years ago
Read 2 more answers
Identify the horizontal asymptote of f(x) = quantity 2 x minus 1 over quantity x squared minus 7 x plus 3. y = 0 y = 1 over 2 y
Ratling [72]
The horizontal asymptote is the value at the y-axis where the graph approaches the line but not necessarily touching it. Hence, the asymptotic characteristic of the graph. The standard form of a function in fraction form is y = (ax^n +...)/(bx^m+...). There are rules to follow to determine the horizontal asymptote of a function.
1) if n = m , then the horizontal equation is y = a/b
2) if n>m, then there is no horizontal equation
3) if n<m, then the horizontal equation is the x axis ; y = 0.

The function given falls on the third rule hence the horizontal asymptote of the function is at y = 0.
8 0
3 years ago
Read 2 more answers
A car depreciates 5% every year. What is the multiplier?
slavikrds [6]

Answer:

0 votes

Answer:27000Step-by-step explanation:interest= principal×rate×time÷ 100=270000×5×2÷100=27000

4 0
2 years ago
Read 2 more answers
Other questions:
  • Find the solutions of the system
    12·1 answer
  • the base of a cone has a radius of 4mm and the height of the cone is 24 mm what is the volume of the cone
    5·2 answers
  • What is X less than 1/2 ​
    13·1 answer
  • in the following diagram, BC is parallel to DE. What is the measure of angle X?Angles are not necessarily drawn to scale.
    8·1 answer
  • Which unit rate is the lowest price per ounce? Choice A: 10 ounces of chocolate chips for $1.66 Choice B: 20 ounces of chocolate
    7·2 answers
  • Can someone help me???<br><br> The 2nd part choices are:<br> 5,6,23,27
    8·1 answer
  • HELP ME QUICK!!!
    13·1 answer
  • Leo reads 10 pages in 1/3 hour. What is the unit rate for pages per hour? For hours per page. The unit rate is blank pages per h
    14·1 answer
  • Write each multiplecation setence as an aditon sentence<br> 5X5=25<br> 6X2=12
    10·2 answers
  • A seal went 15 feet below sea level to catch a fish. A sea lion dove 6 feet less than two times as deep as the seal to catch a l
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!