A bookshelf can accommodate 6 books from left to right. If 10 identical books on each of the languages - French, German, Spanish, and English are available, in how many ways can the bookshelf be filled such that books on the same language are not put adjacently?
Number of Permutations without repetition -
Arrange n objects taken r at a time equivalent to filling r places from n things.
- wherein
Where
can be filled in 4 four ways.
can be filled in 3 ways each.
Since the books cannot be similar, Thus,
4*3*3*3*3*3=
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