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  • A bookshelf has space for 5 books, with 2 books on mathematics, 1 book on science, and 2 books on literature. In how many different ways can you arrange the books on the

A bookshelf has space for 5 books, with 2 books on mathematics, 1 book on science, and 2 books on literature. In how many different ways can you arrange the books on the shelf?

 

Option: 1

4


Option: 2

6


Option: 3

7


Option: 4

3


Answers (1)

best_answer

To calculate the number of different ways you can arrange the books on the shelf, we can use the concept of permutations.

Since there are 5 spaces on the bookshelf, we need to consider the arrangements of the 5 books.

Out of the 5 books, 2 are on mathematics, 1 is on science, and 2 are on literature.

The number of ways to arrange the mathematics books among themselves is given by 2 !, and the number of ways to arrange the literature books among themselves is given by 2 ! .

The science book is distinct, so it can be arranged in 1 way.

To find the total number of different arrangements, we multiply the number of ways each group of books can be arranged:

\mathrm{ 2 ! \times 2 ! \times 1=2 \times 2 \times 1=4 . }

Therefore, there are 4 different ways you can arrange the books on the shelf.

Posted by

Ajit Kumar Dubey

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