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
lara31 [8.8K]
3 years ago
6

How many different committees can be formed from 8 teachers and 48 students if the committee consists of 3 teachers and 4 ​stude

nts?
Mathematics
2 answers:
valkas [14]3 years ago
6 0
As many as you'd like
drek231 [11]3 years ago
6 0
Since we don't care about the order in which we select people, we will use the combinatoric approach, rather than permutations.
Since we want to select 3 teachers from a total of 8, this is the notation to select 3 teachers from 8 (objects).

Teachers : ^{8}C_3
Similarly, students : ^{48}C_{4}

Now, since we want both at the same time, we will need to multiply both to yield your final answer: ^{8}C_3 \cdot ^{48}C_{4} = 10,896,480 different ways.
You might be interested in
Carly buys t play tickets at $14.50 per ticket and t choir concert tickets at $5.50 per ticket. What is the cost for play ticket
Step2247 [10]

Answer:

20t

Step-by-step explanation:

Carly buys t play tickets at $14.50 per ticket and t choir concert tickets at $5.50 per ticket. What is the cost for play tickets and choir concert tickets.

The cost of the play tickets is the number of play tickets multiplied by the cost of each ticket.

Play tickets: number of tickets: t; cost of each ticket: $14.50

Cost of play tickets: 14.50t

The cost of the choir tickets is the number of choir tickets multiplied by the cost of each ticket.

Choir tickets: number of tickets: t; cost of each ticket: $5.50

Cost of choir tickets: 5.50t

Total cost of play tickets and choir tickets:

14.50t + 5.50t = 20t

4 0
3 years ago
What is The Y Intercept of The Line With The Equation 4x + 2y =12
alina1380 [7]
The equation is y=-2x+6
7 0
3 years ago
Read 2 more answers
Will mark first right answer blainliest!!!!!!!!!!!!!!!!!
grigory [225]

Answer:

40 inches

Step-by-step explanation:

blainliest

5 0
3 years ago
Read 2 more answers
U(x)=-2-2x+7 please help
Black_prince [1.1K]
<span>Simplifying u(x) = -2 + -2x + 7 Multiply u * x ux = -2 + -2x + 7 Reorder the terms: ux = -2 + 7 + -2x Combine like terms: -2 + 7 = 5 ux = 5 + -2x Solving ux = 5 + -2x Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Divide each side by 'x'. u = 5x-1 + -2 Simplifying u = 5x-1 + -2 Reorder the terms: u = -2 + 5x-1</span>

4 0
3 years ago
Which calculation will give the total surface area of the solid figure?
diamong [38]

Answer:

The answer is 6 × 5 × 5 square inches.

Step-by-step explanation:

For each square, the area is 5 x 5 inches and there 6 squares in the picture.



7 0
3 years ago
Read 2 more answers
Other questions:
  • Hayden has 6 rolls of dimes. There are 50 dimes in each roll. How many dimes does he have altogether
    15·1 answer
  • Ind the equation of the tangent line to 9x^2+16y^2=52 through (2, -1)
    7·1 answer
  • a stack of quarters is 5 mm. how many quarters are in a stack that is 5 cm tall? show the steps you took and explain your answer
    13·1 answer
  • What are the answers ​
    11·1 answer
  • Sebastion has filled a paper grocery bag with food
    6·1 answer
  • V²=u²+2as make u as the subject <br><br>​
    10·1 answer
  • Select the correct answer.
    11·1 answer
  • If Isaac uses a coupon entitling him to a 25% discount off the purchase price before tax, how much will his bill be? Assume that
    11·2 answers
  • Name the figure below in two different ways.
    8·2 answers
  • Consider the points (-5,2) and (3,-9)<br> What is the VERTICAL distance
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!