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nekit [7.7K]
3 years ago
6

How many ways can a dozen books be placed on four distinguishable shelves if no two books are the same, and the positions of the

books on the shelves matter (ie. if Book 1 is to the left of Book 2, that is different from if Book 1 is to the right of Book 2)
Mathematics
1 answer:
Jet001 [13]3 years ago
5 0

Answer:

217945728000 ways

Step-by-step explanation:

Given

Books = 12 --- 1 dozen

Shelf = 4

The given condition implies that;

Book\ 1  = 4 ---- any of the 4 shelves

Book\ 2  = 5 --- any of the 4 shelves and either ways of book 1

Book\ 3  = 6  --- any of the 4 shelves and either ways of book 1 and 2

-----------------------

----------------

----------

<h2>Book\ 12 = 15</h2><h2></h2>

So, the number of ways is:

Ways = 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 * 12 * 13 * 14 * 15

Ways = 217945728000

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In Mrs.Hu's classroom, 4/5 of the students have a dog as a pet. Of the students who have a dog as a pet also have cat as a pet.
Travka [436]

Answer:

This problem is incomplete, we do not know the fraction of the students that have a dog and also have a cat. Suppose we write the problem as:

"In Mrs.Hu's classroom, 4/5 of the students have a dog as a pet. X of the students who have a dog as a pet also have cat as a pet. If there are 45 students in her class, how many have both a dog and a cat as pets?"

Where X must be a positive number smaller than one, now we can solve it:

we know that in the class we have 45 students, and 4/5 of those students have dogs, so the number of students that have a dog as a pet is:

N = 45*(4/5) = 36

And we know that X of those 36 students also have a cat, so the number of students that have a dog and a cat is:

M = 36*X

now, we do not have, suppose that the value of X is 1/2 ("1/2 of the students who have a dog also have a cat")

M = 36*(1/2) = 18

So you can replace the value of X in the equation and find the number of students that have a dog and a cat as pets.

5 0
3 years ago
Read 2 more answers
A certain ceiling is made up of tiles. Every square meter of ceiling requires 10.75 tiles. Fill in the table with the missing va
ANEK [815]

Answer:

See Explanation

Step-by-step explanation:

Given:

See Attachment

Required

Complete the table

From the question, we understand that:

1m^2 = 10.75\ tiles

So:

When square meters = 1

X = 10.75 * 1

X = 10.75

When square meters = 10

X = 10.75 * 10

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Assume any value of square meter for the third row;

Say: square meters = 20

X = 10.75 * 20

X = 215

When square meters = a

X = 10.75 * a

<h2>X = 10.75a</h2>

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3 years ago
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astra-53 [7]

Answer:

Hey there!

This is because the theoretical probability is different from the experimental probability. The theoretical probability is what is expected, but the experimental probability is what actually happens.

Hope this helps :)

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3 years ago
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Dahasolnce [82]

Answer:

56

Step-by-step explanation:

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which is 56

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Answer:

1. A

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