If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word SACHIN appears at serial number:
A. 601
B. 600
C. 603
D. 602
Answer: Option A
Solution(By Examveda Team)
If the word started with the letter A then the remaining 5 positions can be filled in 5! Ways. If it started with c then the remaining 5 positions can be filled in 5! Ways. Similarly if it started with H, I, N the remaining 5 positions can be filled in 5! Ways. If it started with S then the remaining position can be filled with A, C, H, I, N in alphabetical order as on dictionary. The required word SACHIN can be obtained after the 5 × 5! = 600 Ways. i.e. SACHIN is the 601th word.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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