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?
10 x 95
4 x 35
As learnt in concept
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=
Option 1)
Incorrect option
Option 2)
10 x 95
Incorrect option
Option 3)
Incorrect option
Option 4)
4 x 35
correct option