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Tasya [4]
3 years ago
6

In how many ways can a teacher arrange 6 students in the front row of a classroom with a total of 20 students?

Mathematics
1 answer:
Vikki [24]3 years ago
8 0
This is a combination of 20 studants, 6 to 6:

C_{2,6}=\frac{20!}{(20-6)!6!}=\frac{20!}{14!6!}=\frac{20.19.18.17.16.15.14!}{14!.6.5.4.3.2.1}=38,760 \ ways
You might be interested in
What is the approximate surface area of the sphere if circumference is 37.68?
damaskus [11]

The surface area of a sphere is  A = 4 π R² .

Sadly, the question doesn't give you 'R', so you have to
back it out of the circumference.

                           Circumference = π (diameter)

Divide each side by π :  Diameter = circumference / π

Radius = 1/2 diameter:  Radius = circumference / (2 π)

                                       Area = 4 π R²  =

                                                 4 π (circumference/2π)² =

                                                 4 π (circumference)² / 4 π²

Divide top and bottom by  4π :  Area = (Circumference)² / π

         Circumference = 37.68 units

         Area =  (37.68)² square units /π =
    
                       <em>451.93 square units</em>


8 0
3 years ago
Complete the blank with either ∈ or ∉ so that the resulting statement is true. −2​__{−6,−3,−5,−1}
Misha Larkins [42]

Answer:

−2​ ∉ {−6,−3,−5,−1}

Step-by-step explanation:

Given

Set = {−6,−3,−5,−1}

Element = -2

Required

The interpretation of the question is to state if -2 is an element of the given set or not

The first thing to do is to check through the set to count the number of occurrence of -2

Looking through Set = {−6,−3,−5,−1}, we have that the occurrence of -2 is 0

This implies that -2 is not an element of the given set and this is represented by the symbol ∉

Hence:

−2​ ∉ {−6,−3,−5,−1}

7 0
3 years ago
What are the solutions of -x^2+4x=x-4
Stolb23 [73]

Answer:

x = -1 and x = 4

Step-by-step explanation:

Step 1:  Get everything to one side of the equation so it's set equal to zero..

-x² + 4x = x - 4  becomes...

  -x² + 3x + 4 = 0        (subtract x and add 4 to both sides)

    x² - 3x - 4 = 0  (divide both sides by -1, we want the x² term to be positive)

   (x - 4)(x + 1) = 0          (factor)

      so

x - 4 = 0,    then x = 4

and

x + 1 = 0,   then x = -1  

8 0
4 years ago
Can someone please help me with this?
ycow [4]

Answer:

the answer would be B) no solution

Step-by-step explanation:

The two equations are parrael and that makes it have no solution.

Hope this helps. just let me know if you have any questions about my answer.

3 0
2 years ago
Is 4,7 a solution of x-y=7
omeli [17]

Answer:

No.

Step-by-step explanation:

Because 4 - 7 = -3.

6 0
4 years ago
Read 2 more answers
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