Question
Mathematics Question on Permutations
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
Answer
324
Explanation
Solution
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 word �KRISNA
= 2(120) + 3(24) + 6 + 2(2) + 2(1) = 324