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How many ways can 10 books be arranged if 4 math books are keeped toghter?
Wiki User
∙ 11y ago
While massaging the question into some form that can be answered,
I'm assuming:
-- exactly 4 of the 10 books are math books
-- the other 6 are not math books
-- you're asking how many different ways all 10 can be arranged
on the shelf while keeping the math books all together.
If that's your question, then the answer is as follows. If that's not your question,
then the following is the answer to my question but it won't help you at all :
The 10 books are really only 7 units to be arranged ... 6 random books, and
one unit comprised of math books that might as well be glued together because
they can't separated. So the shelf arrangement involves lining up 7 things.
The first can be any one of the seven. For each of those . . .
The second one can be any one of the remaining six. For each of those . . .
The third can be any one of the remaining five. For each of those . . .
.
.
etc.
Total number of possible arrangements is (7 x 6 x 5 x 4 x 3 x 2) = 5,040 ways.
Wiki User
∙ 11y ago
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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 many different ways can ten books be arranged on a shelf?
Using the binomial coefficient and the 'choose' function, 10 books can be arranged 10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800 different ways.
How many ways can 7 books be arranged vertically on a bookshelf?
If the books have to be the correct way up and spine outwards: 7! ways =7x6x5x4x3x2x1 =5040 ways. If the books can be any way in (upside down, spine inward, etc.): (7!x4^7) ways =7x4x6x4x5x4x4x4x3x4x2x4x1x4 =82,575,360 ways
How many ways can the letters of the word meddles be arranged?
In how many distinct ways can the letters of the word MEDDLES be arranged?
Five people are to be arranged in a row to have their picture taken In how many ways can this be done?
Five people are to be arranged in a row to have their picture taken. In how many ways can this be done?
How many different ways can 9 books be arranged?
81
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 7 books be arranged on a bookshelf?
7654321 = 7! = 5,040
How many ways 12 books can be arranged 3 at a time?
there are 220 combinations of arranging 12 books chosing 3
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 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.
What does an encyclopedia help me with?
It is a book, or set of books, giving information on many subjects or on many aspects of one subject, arranged alphabetically
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 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
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 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 ten books be arranged on a shelf?
Using the binomial coefficient and the 'choose' function, 10 books can be arranged 10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800 different ways.
