Arrangements of books on a shelf with no two dictionaries adjacent and a dictionary at each end
Arrangements of books on a shelf with no two dictionaries adjacent and a dictionary at each end
IB Year 6 | Grade 12
6 marks
Six different novels and four different dictionaries are to be arranged in a row on a shelf.
- Find the number of ways of arranging the ten books so that no two dictionaries are adjacent.[3]
- Find the number of ways of arranging the ten books so that no two dictionaries are adjacent and the books at both ends of the row are dictionaries.[3]
Solution:
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Answer:(a) \(604\,800\) (b) \(172\,800\)
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