Permutations
Question
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
Easy
Solution
The number of words starting from Aare=51=120
the number of word6 starting from I are = 5 != 120
The number of words starting from KA arc = 4l = 24
The number of words starting from KI are = 4l =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
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