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How many ways can 9 books be arranged on a shelf so that 5 of the books are always together?
You can simplify the problem by considering it as two different problems. The first involves consider the five-book chunk as a single book, and calculating the permutations there. The second involves the permutations of the books within the five-book block. Multiplying these together gives you the total permutations.
Permutations of five objects is 5!, five gives 5!, so the total permutations are:
5!5! = 5*5*4*4*3*3*2*2 = 263252 = 14,400 permutations
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How many ways can 8 books be arranged on a shelf such that books on biology history and programming are never together?
The answer depends on how many books on each subject there are.
How many ways can 9 books be arranged on a shelf if there is only room for 5 of the books?
9 x 8 x 7 x 6 x 5
How many different ways can five books be arranged on a shelf?
The number of permutations of five things taken five at a time is five factorial, or 120.
How many different ways can you arrange 5 out of 7 books on a book shelf?
There are only 5 places on the shelf. You have 7 books to choose from. We will ignore the order of the books on the shelf. The first place can be filled from a choice of 7 books, the next place from 6, the next place from 5, the next from 4, and the last of the 5 places from 3 books. So the number of ways of choosing the 5 is found from 7 * 6 * 5 * 4 * 3 = 2520
How many ways can you arrange 5 books on a shelf order is important?
5 books can be lined up on a shelf in (5 x 4 x 3 x 2 x 1) = 120 different sequences.
How many ways can 8 books be arranged on a shelf such that books on biology history and programming are never together?
The answer depends on how many books on each subject there are.
How many ways can seven books be arranged on a shelf if one of the books is an algebra text and it must be in the center?
it depends on the shelf of course
How do you write the sentence with the word Methodically?
Slowly and methodically, I arranged the books on the shelf.
How many different ways can 15 books be arranged vertically side by side on a shelf?
The number of ways that 15 books can be arranged on a shelf is the same as the number of permutations of 15 things taken 15 at a time. This is 15 factorial, or 15!, and is 1,307,674,368,000.
How many ways can six different books be arranged on a shelf it one of the books is a novel that must be on an end?
There are 2*5! = 240 ways.
There are Five books on a shelf. How many different ways to arrange the books?
120. You do 5*4*3*2*1=120. you multiply the number that you are given for example how many times can books 3 be arranged on a shelf you multiply 3*2*1=6 that is your answer
How many ways can 9 books be arranged on a shelf if there is only room for 5 of the books?
9 x 8 x 7 x 6 x 5
Put the books on the TALL shelf?
Stack the books on the shelf that is higher in height.
How many different ways can five books be arranged on a shelf?
The number of permutations of five things taken five at a time is five factorial, or 120.
How are magazines arranged on a supermarket shelf?
Leaning
In how many different ways can 6 books be arranged on a shelf?
6! = 1 x 2 x 3 x 4 x 5 x 6.
There are seven books on the floor the number of books on the shelf is two more than three times the number of books on the floor how many books are on the shelf?
There are seven books on the floor. Let x be the number of books on the floor. The number of books on the shelf is 2 + 3x. From the information given, 3x + 2 = number of books on the shelf. Substitute x=7 into 3x + 2 to find the answer. So, there are 23 books on the shelf.
