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
Montano1993 [528]
2 years ago
13

how many ways can 8 distinguishable books be placed in 5 distinguishable shelves so that each shelf contains one book

Mathematics
1 answer:
musickatia [10]2 years ago
5 0

There are 6720 ways by 8 distinguishable books be placed in 5 shelves.

According to statement

The number of books (n) is 8

The number of shelves (r) is 5

Now, we find the ways by which the 8 books be placed in 5 distinguishable shelves

From Permutation formula

P(n,r) = n! / (n-r)!

Substitute the values then

P(n,r) = 8! / (8-5)!

P(n,r) = (8*7*6*5*4*3*2*1) / (3*2*1)

P(n,r) = 8*7*6*5*4

P(n,r) = 6720

So, there are 6720 ways by 8 distinguishable books be placed in 5 shelves.

Learn more about PERMUTATION here brainly.com/question/11732255

#SPJ4

You might be interested in
the area of the first quadrant bounded by the y-axis, the line y=4-x, and the graph of y=x-cosx is approximately
zzz [600]
The curves y=4-x and y=x-\cos x intersect at approximately x\approx1.8582. The area is then

A\approx\displaystyle\int_0^{1.8582}((4-x)-(x-\cos x))\,\mathrm dx=\int_0^{1.8582}(4-2x+\cos x)\,\mathrm dx\approx4.9389
7 0
3 years ago
Sort the following functions from asymptotically smallest to asymptotically largest, indicating ties if there are any. You do no
Serhud [2]

Answer:

b. n

d. 2^lgn

c. n^2.1

a. 4^2lgn

Step-by-step explanation:

Logarithm is a function of mathematics which is used to calculate inverse function of exponents. The asymptotically smallest function will be the one that has smallest or no exponents. The exponent function is calculated in reverse when log is applied. The function with highest exponents will be largest asymptotically.

3 0
3 years ago
What are the common factors of 10 25 and 75
Varvara68 [4.7K]
25 is the greatest common factor of 75 and 25. 3 x 25 = 75.
6 0
3 years ago
HELP ME PLEASE I'LL PICKA BRAINLIEST PERSON!!!
Kamila [148]
Its C! Lets say x=30
|30-323|=50
This could technically be true because it would show if the temp is within range
6 0
3 years ago
Read 2 more answers
What is the midpoint of the x-intercepts of f(x) = (x – 2)(x – 4)?
tatyana61 [14]
The x-intercepts are readily identified on the graph:  (2,0) and (4,0).  The midpoint of a line connecting those 2 points would be (3,0).
8 0
3 years ago
Read 2 more answers
Other questions:
  • How can we tell if a fraction is less that greater than or equal to 1?
    8·2 answers
  • Anybody know the answer ? Please help :(
    6·1 answer
  • 12.391/3.8 to the nearest whole number
    12·2 answers
  • How to know the derivative of a function by looking at the graphs?
    13·1 answer
  • Morgan rewrote the expression 90 + (10 + 4.8) as (90 + 10) + 4.8. How will this change the work that is needed to evaluate the e
    9·2 answers
  • 3 1/2÷36 help me please
    8·2 answers
  • Whats 12 over 5 to a mixed number
    7·1 answer
  • um dado de 6 faces numeradas de 1 a 6 e lançado de maneira aleatória deseja-se que ele caia com uma face para cima . Qual a prob
    13·1 answer
  • Najma is buying four sweaters that cost $14.99 each. She has two gift
    8·2 answers
  • What the improper fraction of 9 1/3
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!