Question

. A teacher has 2 different books on English, 3 different books on physics, and 4 different books on
Mathematics. These books are to be placed in a shelf so that all books on any one subject are together,
How many different ways are there to do this?​

Answer 1

Given :  A teacher has 2 different books on English, 3 different books on physics, and 4 different books on  Mathematics.

books are to be placed in a shelf so that all books on any one subject are together,

To Find : How many different ways are there to do this

Solution:

Types of books  - 3

English , physics  & Mathematics

3 Types of Books can be arranged in 3!  = 6 ways   ( as  all books on any one subject are together)

2 different books on English, can be arranged in 2! = 2 Ways

3 different books on physics can be arranged in 3!  = 6 Ways

4 different books on  Mathematics can be arranged in 4!  = 24 Ways

different ways are there to do this =  6 *  2 * 6  * 24

= 1728 Ways

1728 Ways  to arrange so that all books on any one subject are together,

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