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Pie
3 years ago
15

You need to arrange tenten of your favorite books along a small shelf. how many different ways can you arrange the? books, assum

ing that the order of the books makes a difference to? you
Mathematics
2 answers:
jok3333 [9.3K]3 years ago
4 0
That is permuations

that would be 10! or 10*9*8*7*6*5*4*3*2*1=3628800 ways

Verizon [17]3 years ago
4 0

Answer:

3,682,800 ways

Step-by-step explanation:

A permutation is the variation of the order or position of the elements of an ordered set.

Basically, if order doesn't matter, we talk about a combination. If order matters, it's about permutation.

In other words: A permutation is an orderly combination.

There are two types of permutations:

  Repeat is allowed: as a lock combination, it could be "333".

   Without repetition: for example the first three in a race. You cannot stay first and second at the same time.

In this case, factor notation is used, multiplying descending numbers.

<em>10! = 10x9x8x7x6x5x4x3x2x1 = 3,682,800 ways</em>

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It is given that set H such that n(H) = x and H has 8 subsets. Determine the value of x.
denis23 [38]
The answer is c. 4 because it’s a subset of 8
7 0
2 years ago
How many elements must a set have if the number of proper subsets of the set is one half
Svet_ta [14]
2^n - 1 = 1/2(2^n)
2^1 - 1 = 2^1/2
2 - 1 = 2/2
1 = 1

Theefore, the set must have one element
5 0
3 years ago
ASAP please.<br> Not understanding
vivado [14]

Bryan has 180 feet of fencing. he use the wall for one side of fencing

So he has to fence only 3 sides

he has to fence bottom side + left side+  right side of the wall

Let x be the width of the garden

Let y be the length

Perimeter of the garden = length + width + width

180 = y +x +x

180 = y+2x

so y = 180 - 2x

(a) Area of rectangle = Length * width

Area = y * x

Area = (180 -2x)* x

so area of the garden = -2x^2 +180x

(b)To find dimension to create largest are we find x coordinate of the vertex

formula is x= \frac{-b}{2a}

a= -2 and b = +180

x= \frac{-180}{2(-2)}= 45

So width = 45

We know length y = 180 - 2x= 180 - 2(45) = 90

Dimension with greatest area is

Length = 90 feet

width = 45 feet

(c) Greatest area = length * width

= 90 * 45 = 4050 square feet








6 0
3 years ago
Jguegsfwnobugrgeaneoengioi
sergiy2304 [10]

Answer:

what ????sorry I do t know what that says

3 0
3 years ago
Gabe Amodeo, a nuclear physicist, needs 60 liters of a 60% acid solution. He currently has a 40% solution and a 70% solution. Ho
timofeeve [1]

Answer:

20 liters of the 40% solution

60-20=40 liters of the 70% solution

Step-by-step explanation:

40%x+70%(60-x)=60%(60)

0.4x+0.7(60-x)=0.6(60)

0.4x+42-0.7x=36

-0.3x+42=36

-0.3x=-42+36

-0.3x=-6

0.3x=6

3x=60

x=60/3

x=20 liters of the 40% solution

60-20=40 liters of the 70% solution

check: 0.4*20=8

0.7*40=28

8+28=36 and 0.6*60=36 also

3 0
3 years ago
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