If 3 books on Physics, 2 books on Chemistry and 4 books on Mathematics are to be arranged on a shelf so that all the Physics books are together and all the Mathematics books are together, then the number of such arrangements is

Step-by-step solution

There are 3 books on physics, 2 books on Chemistry and 4 books on Mathematics. All Physics books and Mathematics books are kept together. All Physics books will be considered as 1 unit and all Mathematics books are also considered as 1 unit. Physics, Mathematics and 2 Chemistry books can be arranged in 4 ! ways. Also, 3 Physics and 4 Mathematics books can be arranged themselves in 3! 4 ! ways aligned Total number of arrangements & =4! 3! 4! & =3456 aligned