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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