In how many ways can 8 books be arranged on a shelf if 3 particular books must always stand together


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In how many ways can 8 books be arranged on a shelf if 3 particular books must always stand together

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It is required to arrange 8 bo...

Updated On: 27-06-2022

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Answer : (i) 10080, (ii) 30240

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Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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It is required to arrange 8 books on a shelf. Find the number of ways to do this if two specified books are
(i) always together (ii) never together

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6.7 K

2:58

Ten different books are arranged on a shelf . Find the number of different ways in which this can be done. If two specified book are (a) to be together, (b) not to be together.

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6.4 K

5:05

In how many ways can 5 different books be arranged on a shelf if (i) there are no restrictions (ii) 2 books are always together (iii) 2 books are never together

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5.1 K

3:04

Find the number of ways in which 12 different books can be arranged on a shelf so that two particular books shall not be together

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4.8 K

3:15

In how many ways can 7 different books be arranged on a shelf? In many ways three particular books are always together?

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2.3 K

3:02

Find the number of ways in which 12 different books can be arranged on a shelf so that three particular books shall not be together.

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In how many ways can 8 books be arranged on a shelf if 3 particular books must always stand together

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How many ways can 8 books be arranged on a shelf?

There are a total of 8! =40320 ways of arranging those eight books.

How many ways can 9 books be arranged in a shelf if two of them must be side by side each other?

We know that the two books that are kept together can be arranged in two ways. So, we will get the total number of ways we can arrange the $9$ books. Hence, we can arrange the $9$ on a shelf in $40320\times 2=80640$ ways.

How many ways can 3 books be arranged on a shelf?

different bundles of novels, and we have to put this bundle and other 3 books onto the shelf. So the total number of ways is 3! × (3 + 1)! = 144.

How many different orders can 7 books be arranged on a shelf if a certain 3 volume book is not to be separated?

If a certain 3 volume work is not to be separated, will be 3 factorial times 5 factorial, and that is 720 repoint.