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

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 $\mathrm{KA}$ are $4 !=24$ The number of words starting from $\mathrm{KI}$ are $4 !=24$ The number of words starting from $\mathrm{KN}$ 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 $=2(120)+3(24)+6+2(2)+2(1)=324$