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
Related Questions on Permutation and Combination
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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