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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 |
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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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