Q. If the letters of the word KRISNA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word KRISNA is
A) 324
B) 341
C) 359
D) None of these
Explanation
(a)
The number of words starting from A are =5!=120
The number of words starting from I are =5!=120
The number of words starting from KA are =4!=24
The number of words starting from KI are =4!=24
The number of words starting from KN are =4!=24
The number of words starting from KRA are =3!=6
The number of words starting from KRIA are =2!=2
The number of words starting from KRIN are =2!=2
The number of words starting from KRISA are=1!=1
The number of words starting from KRISNA are=1!=1
Hence, rank of the word KRISNA
$= 2(120) + 3(24) + 6 + 2(2) + 2(1) = 324$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.