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
3241004551 [841]
3 years ago
5

Two n-digit sequences of digits 0,1,. . . ,9 are said to be of the same type if the digits of one are a permutation of the digit

s of the other. For n = 8, for example, the sequences 03088929 and 00238899 are the same type. How many types of n-digit sequences are there?
Mathematics
1 answer:
Stells [14]3 years ago
6 0

Answer:

(n+9)!/(n!9!)

Step-by-step explanation:

A combination is a selection of items from a collection, such that (unlike permutations) the order of selection does not matter.

This is a case of combination with repetition because any n-digit sequence can have numbers repeated. For example in the sequence 00238899  there are 2 zeros.

The formula to find the number of combinations when repetition is allowed is:

(n+N-1)!/[n!(N-1)!]

where

N is the number of elements of the set we can choose from

n is the number of elements we choose

In this case, the set {0,1,2,3,4,5,6,7,8,9} has 10 elements, N=10

The number of n-digit sequences is given by

(n+10-1)!/[n!(10-1)!]=(n+9)!/(n!9!)

You might be interested in
BC= <br> I need someone help... anybody know how to do this?
Tems11 [23]
<h3>Answer: 10.99</h3>

Work Shown:

Angle B = 20 is the reference angle

AC = 4 is the side opposite this reference angle

BC = x is the unknown adjacent side

tan(angle) = opposite/adjacent

tan(B) = AC/BC

tan(20) = 4/x

x*tan(20) = 4

x = 4/tan(20)

x = 10.9899 approximately (make sure your calc is in degree mode)

x = 10.99 rounding to two decimal places

BC = 10.99

3 0
3 years ago
Please help me in this. I need to turn this assignment in!
olga2289 [7]

Answer:

X-----Independent Variable

Y-----Dependent Variable

Dependent Variable-----A variable whose value determines the value of the output

Independent Variable-----A variable whose value determines the value of the input

Input-----The value substituted into an expression or function

Output----The value that results from the substitution of a given input into an expression or function

4 0
3 years ago
When a fraction of 17 is taken away from 17 what remains exceeds 1/3 of 17 by 6
MrRissso [65]
1/3×17/1=51/1

51+6=57
4 0
3 years ago
D) Use your knowledge of scale drawings and image sizes to fill in the missing
astraxan [27]

Answer:

  Your table is filled in below.

Step-by-step explanation:

The scale factor is the ratio of image size to original size. In part (d), the image height is "blocks" while the original height is "feet". So, the units of the scale factor are "blocks/ft".

Sometimes a scale factor has units, like this, and sometimes it is expressed as a pure number. A map scale factor might be the pure number ratio 1 : 62500, or it could also be expressed with units as 1 in : 1 mile.*

__

* actually, these are slightly different scales. 1:62500 is about 0.98643 inches per mile.

7 0
3 years ago
Read 2 more answers
The correlation coefficient for the ages of drivers in a driver safety class and the number of traffic violations they have rece
Doss [256]
A correlation coefficient is always a value in between -1 and 1
The closest a coefficient to -1, the correlation is a strong negative correlation
The closest a coefficient to 1, the correlation is a strong positive correlation
The closest a coefficient to 0, there is no correlation at all

The coefficient -0.61 shows a strong negative correlation
This means that the relationship between the age and the violation is an inverse relationship; as age increases, violation decreases

Answer: option C
7 0
3 years ago
Other questions:
  • A pair of 120 shoes was discounted 20 percent a costumer had a coupon for an additional 5 off what was the final price of the sh
    10·1 answer
  • At Kentucky Fried Chicken, the kitchen staff baked 96 chicken legs, 144 thighs, and 224 wings. The staff had to prepare platters
    7·1 answer
  • Use substitution to solve each system of equations<br> c-5d=2 <br> 2c+d=4
    12·2 answers
  • Two years ago Pete was three times as old as his cousin Claire. Two years before that, Pete was four times as old as Claire. In
    5·2 answers
  • Solve mathematics question: In photo:) Second:)
    14·2 answers
  • Help me plz what is 341 divided by 10
    12·2 answers
  • A bullet of mass m1 = 0.020 kg is fired with initial speed v1 into a block of mass m2 = 0.500 kg that is initially at rest. The
    10·1 answer
  • Someone help me please
    14·1 answer
  • There are 2 questions PLease help need it quickley will give brainiest
    11·1 answer
  • Drag each tile to the correct box.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!