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Question
On a shelf, there are 4 books on Economics, 3 books on Management and 4 books are Statistics. In how many different ways, can the books be arranged so that the books on Economics are kept together?
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Solution
The correct option is A 967680
Books on Economics are to be kept together.
Hence, we are to arrange 3 books on Management, 4 books on Statistics and one book on Economics.
These can be arranged in 8! ways. Again, 4 books on Economics can be arranged together in 4! ways.
∴ Total number of arrangements
= 8! × 4!
= 40320 × 24 = 967680
Books on Economics are to be kept together.
Hence, we are to arrange 3 books on Management, 4 books on Statistics and one book on Economics.
These can be arranged in 8! ways. Again, 4 books on Economics can be arranged together in 4! ways.
∴ Total number of arrangements
= 8! × 4!
= 40320 × 24 = 967680
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