1.

On a shelf there are 3 books of Chemistry, 2 books of Physics and 4 books of Mathematics. In how many different ways can be the books be arranged such that the books of Mathematics are together?1). 3628802). 86403). 345604). 17280

Answer»

SINCE the BOOKS of Mathematics are to be kept TOGETHER, they are considered as 1

∴ Total number of books = Group of Mathematics books + Physics + Chemistry

⇒ Total books = 1 + 2 + 3 = 6

Number of ways in which all books can be arranged = 6!

Number of ways in which the Mathematics books can be arranged = 4!

∴ Total number of ways in which the books can arranged = 6! × 4! = 17280



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