Question

A shelf contains $15$ books, of which $4$ are single volume and the others are $8$ and $3$ volumes respectively. In how many ways can these books be arranged on the shelf so that order of the volumes of same work is maintained $?$

• A. $4!$
• B. $8!$
• C. $3!$
• D. $4!8!3!3!$

Answer 1

The correct option is D $4!8!3!3!$

No of books $15$

No of ways $4$ volumes are arranged are $4!$ ways

No of ways $8$ volumes are arranged are $8!$ ways

No of ways $3$ volumes are arranged are $3!$ ways

They are arranged in $3!$ ways one above the other

So no.of ways is $4!8!3!3!$