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
vazorg [7]
2 years ago
6

It’s a new semester! Students are grouped into three clubs, which each has 10, 4 and 5 students. In how many ways can teacher se

lect 2 students from all these clubs so they are from different clubs?
Mathematics
1 answer:
ozzi2 years ago
6 0

Here we must see in how many different ways we can select 2 students from the 3 clubs, such that the students <em>do not belong to the same club. </em>We will see that there are 110 different ways in which 2 students from different clubs can be selected.

So there are 3 clubs:

  • Club A, with 10 students.
  • Club B, with 4 students.
  • Club C, with 5 students.

The possible combinations of 2 students from different clubs are

  • Club A with club B
  • Club A with club C
  • Club B with club C.

The number of combinations for each of these is given by the product between the number of students in the club, so we get:

  • Club A with club B: 10*4 = 40
  • Club A with club C: 10*5 = 50
  • Club B with club C. 4*5 = 20

For a total of 40 + 50 + 20 = 110 different combinations.

This means that there are 110 different ways in which 2 students from different clubs can be selected.

If you want to learn more about combination and selections, you can read:

brainly.com/question/251701

You might be interested in
What are two expressions that have GFC of 8xy
REY [17]
16xy, 24x^2y^2 are two expressions with gcf of 8xy.
4 0
3 years ago
PLZ HELP ME OUT How do I know a number is rational or irrational?
Harrizon [31]

Answer: If a number is rational, it can be represented as a simple fraction, it can be written as a terminating decimal, and a repeating decimal.

If a number is irrational, it cannot be represented as a simple fraction, it cannot be written as a terminating decimal, and not as a repeating decimal. It never ends, never repeats, just like the constant pi.

Step-by-step explanation:

So if a number is rational, it can be represented as a simple fraction, it can be written as a terminating decimal, and a repeating decimal.

If a number is irrational, it cannot be represented as a simple fraction, it cannot be written as a terminating decimal, and not as a repeating decimal. It never ends, never repeats, just like the constant pi.

8 0
3 years ago
Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 3x - 5
irina1246 [14]

ans is b...multiply eqn 1 by -2 and eqn 2 by 3

=》 -6x + 10y = 4...eqn 3

=》 6x + 3y = 9...eqn 4

add eqn 3 and 4...

=》13y = 13

=》y =1 and x = 1

5 0
3 years ago
Which quadratic equation is equivalent to (x+2)2+5(x+2)-6=0
professor190 [17]
(x+2)^2+5(x+2)-6=0\\\\x^2+2\cdot x\cdot2+2^2+5\cdot x+5\cdot2-6=0\\\\x^2+4x+4+5x+4-6=0\\\\x^2+9x+2=0
6 0
3 years ago
Find x for me i need help.
vesna_86 [32]

Answer:

X is 70 degrees

Step-by-step explanation:

In a triangle, all the angles add up to 180.

We can set up an equation:

48+62+x=180

x=180-(48+62)

x=70

5 0
3 years ago
Other questions:
  • The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem
    9·1 answer
  • You have one type of nut that sells for $2.80/lb and another type of nut that sells for $5.30/lb. You would like to have 12.5 lb
    8·1 answer
  • Please help me find the area of the triangle above
    5·1 answer
  • Bella's cell phone costs $ 18 per month plus $ 0.15 for every minute she use the phone. Last month her bill was $ 29.25. For how
    7·2 answers
  • Name 5200 using thousands and hundreds
    11·1 answer
  • Identify the type of function represented by f(x) = 3(1:5)*.
    13·1 answer
  • $4.20 × $ 5.00=<br><br>A. $12.50<br><br>B. $21.00<br><br>C. $21​
    11·2 answers
  • Mattie Evans drove 200 miles in the same amount of time that it took a turbo propeller plane to travel 800 miles. The speed of t
    6·1 answer
  • Which number will make the two fractions equivalent? 6/7=?/21
    11·2 answers
  • Sarah and all of her siblings have brown hair. She concludes that if her parents have another child, he or she will have brown h
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!