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Examveda

A book-shelf can accommodate 6 books from left to right. If 10 identical books on each of the languages A,B,C and D are available, In how many ways can the book shelf be filled such that book on the same languages are not put adjacently.

A. 40P6 × 6!

B. 6P4 × 2!

C. 10 × 95

D. 4 × 35

Answer: Option D

Solution(By Examveda Team)

First place can be filled in 4 ways.
The subsequent places can be filled in 3 ways each.
Hence, the number of ways
= 4 × 3 × 3 × 3 × 3 × 3
= 4 × 35

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