All letters of the word “INDIA” are permuted in all possible ways and thus arranged as in a dictionary, then the rank of the word “INDIA” is_______________

The No. of words begin with A is $\frac{4!}{2!}=12$
The No. of words begin with D is $\frac{4!}{2!}=12$
The No. of words begin with IA is $3!=6$
The No. of words begin with ID is $3!=6$
The No. of words begin with II is $3!=6$
The No. of words begin with INA is $2!=2$
The No. of words begin with INDA is $1!=1$
The No. of words begin with INDIA is 1
Rank of INDIA is 46