If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM?
A. 24
B. 31
C. 32
D. 30
Answer: Option C
Solution(By Examveda Team)
The 5 letter word can be rearranged in 5! = 120 Ways without any of the letters repeating. The first 24 of these words will start with A. Then, the 25th word will start will CA _ _ _ . The remaining 3 letters can be rearranged in 3! = 6 Ways. i.e. 6 words exist that start with CA. The next word starts with CH and then A, i.e., CHA _ _. The first of the words will be CHAMS. The next word will be CHASM. Therefore, the rank of CHASM will be 24 + 6 + 2 = 32Join The Discussion
Comments ( 3 )
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!
I can't understand
Can't understand the explanation...
can u explain the above problem once again