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BARSIC [14]
3 years ago
7

Small library contains 700 novels. how many ways can You check out three novels

Mathematics
1 answer:
schepotkina [342]3 years ago
8 0

The first book you select can be any one of 700.

. . . For each of those ...

The second book can be any one of the other 699.

. . . For each of those ...

The third book can be any one of the remining 698.

The total number of ways to gather three books from the shelves into your hands is  (700 · 699 · 698)  =  <em>341,531,400 ways</em> .

<em>BUT ...</em>

When you bring three books to the check-out counter, Marian the Librarian doesn't know in which order you took them down off the shelves.  You could have gathered the same three books in (3 · 2 · 1) = 6 different ways.

So, even though there are 341,531,400 ways to<em> </em>gather up three books, there are only (341,531,400 / 6) = 56,921,900 different GROUPS of three books that you can choose to take home.

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By decomposing the figure in simpler shapes, we will see that the total area is:

a = 180 cm²

<h3>How to find the area of the composite figure?</h3>

Remember that the area of a rectangle of width W and length L is:

A = L*W

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A = B*H/2.

Then, the upper part can be seen as a rectangle of length of 6cm and width of 6 cm, with two triangles on the sides, such that each triangle has a base of 3cm and a height of 6cm.

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A = 6cm*6cm + 2*(3cm*6cm/2) = 54cm²

Now, the bottom triangle has a base of 12 cm, and a height of:

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This means that the total area of the figure is:

total area = 54cm² + 54cm² = 108cm²

If you want to learn more about area:

brainly.com/question/24487155

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5 0
1 year ago
The largest jaw breaker in a store is spherical with a radius of 2 in, and sells for $4.00. A
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Answer:

$36

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4. Determine the price for the new jaw breaker

4/ 50.24 x 452.16 = $36

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2 years ago
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Step-by-step explanation:

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3 years ago
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Alborosie
I might be wrong but don’t you need two equations to do the elimination process?
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Answer:

D

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