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Artist 52 [7]
3 years ago
13

(f) how many ways are there to place a total of m indistinguishable balls into n distinguishable urns, with some urns possibly e

mpty or with several balls?
Mathematics
1 answer:
Blizzard [7]3 years ago
4 0
The number of different ways to distribute m indistinguishable balls into n distinguishable urns is given by C(m+n-1,n-1).

For example, the number of ways 6 ball can be placed in 7 boxes is given by C(6+7-1, 7-1) = C(12, 6) = 924 ways.
You might be interested in
Select all of the sets of measurements that can form a triangle.
bonufazy [111]

Answer:

35°, 15, 130°

70°, 70°, 70°

90°, 3 inches, 7 inches

Step-by-step explanation:

35°, 15, 130° = 185°  Could be an Obtuse triangle and a triangle = 180°

70°, 70°, 70° = Equalateral Triangle

90°, 3 inches, 7 inches = Right Triangle because it has one angle that measures 90°

Hopes this helps let me know if not correct

5 0
2 years ago
What is the degree of each polynomial?
Lana71 [14]

(1) Degree 4  (x^4)

(2) Degree 7 (x^7)

(3) Degree 5 (x^2y^3)

(4) Degree 4 (x^4)

(5) Degree 2 (x^2)

(6) Degree 7 (x^7)

5 0
4 years ago
Read 2 more answers
What is the volume of the right rectangular prism?
pogonyaev

Answer:

432

Step-by-step explanation:

The formula for volume of a rectangular prism is length x width x height

V = lwh

V = 8 x 6 x 9

V = 432

3 0
3 years ago
Read 2 more answers
A square was altered so that one side is increased by 9 inches in the other side is decreased by 2 inches. The area of the resul
nevsk [136]

Answer:

area of the original square = 36 in²

Step-by-step explanation:

given data

one side is increased = 9 inches

other side is decreased = 2 inches

area of the resulting rectangle = 60 in²

solution

we consider here x as the length of any one side

and

longer side of the resulting rectangle = x + 9

and

the shorter side x - 2

so that area of this rectangle is (s+9) × (s-2) = 60 in²

standard form of equation is  x² + 7x - 18 = 60   .....................1

it will be

x² + 7x - 78 = 0

(s+13) (s-6) = 0

so that here x  = -13

and  x = 6

here we Discard x = -13 because the side length cannot be negative.

so x = 6

and area of the original square = 36 in²

5 0
3 years ago
1) Jo Anne needs to do a speech in her English class that can't be more than 4 minutes
djyliett [7]

Answer:

( 0 < y < 23 / 6 ) mins

Step-by-step explanation:

Solution:-

We will define a variable ( x ) as the time it took for Jo Anne to give her speech at home.

The time taken to give her speech must always be less than 4 minutes. We can express this mathematically using an inequality as follows:

                              ( 0 < x < 4 ) minutes

Jo Anne gave her speech which was 10 seconds less than the one she practised at home. We will convert the time in seconds to minutes as follows:

                             10 s * \frac{min}{60 s}  = \frac{1}{6} min

The time taken by Jo Anne to complete her speech in English class can be represented as:

                             y = x - 1/6

Using the range of time that Jo Anne could take in delivering her speech in the class would be:

                                    0 < x < 4

                            0 - 1/6 < y < 4 - 1/6

                            -1/6 < y < 23 / 6

Since time can not be less than zero. We correct the lower limit to " 0 " as follows:

                              ( 0 < y < 23 / 6 ) mins

   

7 0
4 years ago
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