The arrangements of the letters of INDIA are written in dictionary order. What is the position of INDIA?

Sorted letters: A, D, I, I, N. Starting with A: $\frac{4!}{2!}=12$; with D: 12. Starting with I leaves A, D, I, N (all different): IA, ID and II each give $3!=6$, so 18. Then IN + (A, D, I): INADI, INAID, INDAI, INDIA. Position $12+12+18+4=46$.