Question

In: Statistics and Probability

A bookshelf has space for 6 books. There are 6 different English books and 5 different...

A bookshelf has space for 6 books. There are 6 different English books and 5 different French books available. If we wish to put 3 English books and 3 French books on the shelf, how many arrangements can be made keeping all books of the same language together?

Expert Solution

Solution:

A bookshelf has space for 6 books. There are 6 different English books and 5 different French books available.

we wish to put 3 English books and 3 French books on the shelf,

Arrangements that can be made keeping all books of the same language together is given by,

Consider the 3 English books as one unit and 3 French books as one unit

Then they arrange in ways.

Also, Number of ways that we put 3 English books from 6 different english books is

Also, Number of ways that we put 3 French books from 5 different french books is

So, arrangements that can be made keeping all books of the same language together is,

ways

Number of arrangements = 400

Please rating the answer. Thank you!

orchestra answered 2 years ago

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