# 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. ^{40}P_{6} × 6!

B. ^{6}P_{4} × 2!

C. 10 × 9^{5}

D. 4 × 3^{5}

**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 × 3

^{5}

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A. 3! 4! 8! 4!

B. 3! 8!

C. 4! 4!

D. 8! 4! 4!

A. 7560,60,1680

B. 7890,120,650

C. 7650,200,4444

D. None of these

A. 8 × 9!

B. 8 × 8!

C. 7 × 9!

D. 9 × 8!

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