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  • A rack holds 20 books, five of which are single volumes and the rest are ten and five volumes, respectively. How many different ways can these books be arranged on the rack to keep the or

A rack holds 20 books, five of which are single volumes and the rest are ten and five volumes, respectively. How many different ways can these books be arranged on the rack to keep the order of the volumes of the same work?

 

Option: 1

5! 10! 5!


Option: 2

5! 10!\: \: \: \: \:


Option: 3

5! \: 10!\: 3!


Option: 4

5!\: 10! \: 5! \: 3!


Answers (1)

best_answer

Given that,

There are 20 books on a rack.

There are 5 books in single volumes. So, the number of ways for 5 books in 5! ways.

There are 10 books in another volume. So, the number of ways for 10 books is 10! ways.

There are 5 books in another volume. So, the number of ways for 5 books is 5! Ways.

The books are arranged in 3! Ways one above the other

Therefore, the total number of ways the books are arranged on the rack is 5! 10! 5! 3!.

Posted by

Ritika Jonwal

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