All the arrangements, with or without meaning, of the word \(\mathrm{FARMER}\) are written excluding any word that has t…

All the arrangements, with or without meaning, of the word \(\mathrm{FARMER}\) are written excluding any word that has two \(\mathrm{R}\) appearing together. The arrangements are listed serially in the alphabetic order as in the English dictionary. Then the serial number of the word \(\mathrm{FARMER}\) in this list is___

[JEE Main 2021, 1 Sep (Shift 2)]