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sp2606 [1]
2 years ago
15

When you divide the number of permutations of 11 objects taken 3 at a time by​ 3!, you will get the number of combinations of 11

objects taken 3 at a time.
Mathematics
1 answer:
Sloan [31]2 years ago
4 0

Answer:

Yes

Step-by-step explanation:

Permutation :

nPr = n! ÷ (n - r)!

nCr = n! ÷ (n-r)!r!

11 objects taken 3 at a time :

11P3 = 11! ÷ (11 - 3)!

11P3 = 11! / 8!

11P3 = (11 * 10 * 9 )

11P3 = 990

Dividing by 3!

3! = 3*2*1 = 6

= 990 / 6

= 165

For combination :

11C3 = 11! ÷ 8!3!

11C3 = (11 * 10 * 9) / (3 * 2 * 1)

11C3 = 990 / 6

11C3

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Select the BEST classification for square root .0081 . A) irrational B) rational C) imaginary D) complex
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6 0
2 years ago
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A line goes through the points (-1,9) and (1,1).Write the equation of this line in point slope form using one of these points.
Mashcka [7]

Answer:

y-9= -4(x+1)

Step-by-step explanation:

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3 0
3 years ago
A volume of the cone is (1/3) the volume of a cylinder. The volume of the sphere is what fraction of the volume of the cylinder?
xenn [34]

Answer:

4/3

Step-by-step explanation:

To know this, let's write down the formulas for the volume of cylinder and sphere.

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Vc = π r² h    (2)

Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:

Vs / Vc = 4πr³ / 3πr²h

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From here, we can cancel out the values of π and r³:

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<h2>Vs = 4/3 Vc</h2>

Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.

Hope this helps

8 0
2 years ago
PEASE HELP ME WITH THIS SOMEONE PLEASE??
Snezhnost [94]
The answer would be y=-4x+0
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3 years ago
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