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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

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Finding the area of this parallelgram
Shkiper50 [21]

The area of the parallelogram with a height of 13cm and base 20cm is 260cm².

<h3>How to find area of a parallelogram?</h3>

A parallelogram is simply a quadrilateral with two pairs of parallel sides.

The area of a parallelogram is expressed as;

A = base × height

Given the data in the diagram;

  • Height of the parallelogram = 13cm
  • Base of the parallelogram = 20cm
  • Area of the parallelogram = ?

Plug the given values into the equation above and solve for A.

A = base × height

A = 20cm × 13cm

A = 260cm²

The area of the parallelogram with a height of 13cm and base 20cm is 260cm².

Learn more about parallelogram here: brainly.com/question/1563728

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7 0
1 year ago
A photographer charges $12 for a set of 20 pictures. Each picture cost the same amount. At this rate, how many pictures cost $30
never [62]

Answer:

Step-by-step explanation:

20/12 = 1 2/3

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Answer:

16.3 N

Step-by-step explanation:

subtract if the forces are opposite

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3 years ago
For questions 6a &amp; 6b, calculate the mean for each group: 6a) Textbook A 6b) Textbook B Mean: ______________ Mean: _________
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The mean is: 59.7

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In the diagram, ∠4 and ∠5 are what type of angles?
igomit [66]

Answer:

B. Alternate interior angles

Step-by-step explanation:

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6 0
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