Question

Six math books, four physics books and three chemistry books are arranged on a shelf.

How many arrangements are possible if all books of the same subject are grouped together?

Answer 1

622,080

Explanation:

The total number of subjects is 3

= 3×2×1

= 6

Six maths book

= 6×5×4×3×2×1

= 720

Four physics book

= 4×3×2×1

= 24

Three chemistry book

= 3×2×1

= 6

6×720×24×6

= 622,080

Hence if the books are grouped together 622,080 arrangement is possible