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
pickupchik [31]
3 years ago
9

How many different committees can be formed from 8 teachers and 31 students if the committee consists of 3 teachers and 3 ​stude

nts?
Mathematics
2 answers:
ivann1987 [24]3 years ago
7 0
There are many students, however, because there has to be three teachers in each committee, there can only be 2 full committees.
This is because 8 divided by three equals 2 committees, with 2 left over. Even though you have some left over, you cannot create another full committee. Hope that this helped you!

Snezhnost [94]3 years ago
6 0
I'm out at the moment, so I'll explain asap.
There are 8C3 * 31C3 ways in selecting 3 teachers and 3 students.

Since order doesn't matter, we use combinatoric, nCr, instead of permutation, nPr.

Now, we merely need to select 3 teachers from 8 teachers (objects) and 31 students (objects).

Since, we want them simultaneously, we need to multiply the two together.

In essence, there are 8C3 × 31C3 ways
You might be interested in
Josh has a box of ballons.in that box he finds that 1/8 of the ballons are blue out of 120 ballons in the box the rest is red.ho
Stolb23 [73]

Answer:

15

Step-by-step explanation:

1/8 times 120= 15

5 0
3 years ago
Solve x2+6x=7 by completing the square.Which is the solution set of the equation?
NARA [144]

Answer:

x = - 7, x = 1

Step-by-step explanation:

Given

x² + 6x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = 7 + 9

(x + 3)² = 16 ( take the square root of both sides )

x + 3 = ± \sqrt{16} = ± 4 ( subtract 3 from both sides )

x = - 3 ± 4

x = - 3 - 4 = - 7

x = - 3 + 4 = 1

Solution set = { - 7, 1 }

4 0
3 years ago
Candice drives a total of 48 miles each day to work and get back home. She works five days a week. Her car gets 21 miles per gal
slega [8]

Answer:

Total gallon of fuel used = 11.428 gallons

Step-by-step explanation:

Given -

The total distance travelled by car in one gallon of gas = 21 miles

Total distance travelled each day = 48 miles

Number of days days in a week in which Candice drive is 5 days

Total miles travelled per week = 48*5 = 240 miles

Total gallon of fuel used = \frac{240}{21} = 11.428 gallons

5 0
3 years ago
A coin is tossed, and a die is rolled. Find the probability of getting heads and then rolling a 6.
Colt1911 [192]

Answer:

1/2 and 1/6

Step-by-step explanation:

8 0
3 years ago
Find the measure of one interior angle of a regular 21-gon.
ExtremeBDS [4]
C step-by-step the coordinate of that is pretty simple to say but hard at the same time
5 0
2 years ago
Read 2 more answers
Other questions:
  • .Find the area of the square park whose perimeter is 120m.
    6·1 answer
  • When John bought his new computer, he purchased an online computer help. Service.
    8·2 answers
  • Please help don’t understand do by midnight
    10·1 answer
  • F(x) = -4x + 15 <br> solve
    5·1 answer
  • A projectile is launched from ground level with an initial velocity of v0 feet per second. It's height in feet t seconds after l
    11·1 answer
  • 1. If f(x) = 3x² + x - 2, then f(-2) =<br> 8<br> 12<br> 32<br> -16
    13·2 answers
  • A golf cart travels 12 ft in 6 seconds at that speed how far can the golf Cart go in 13 seconds
    8·1 answer
  • Please help will give brainliest
    10·2 answers
  • 23.79 ÷3 in long divison​
    9·2 answers
  • sung buys a 12-month membership to a gym there is no sign up fee and sung makes equal payments each month after three months he
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!