The letter of the word SURITI are written in all possible orders and these words are written out as in a dictionary. Then the rank of the word SURITI is

The letters of SURITI can be arranged in 6!/2!=720/2=360  ways. The alphabetic order is I,  R,  S,  T  and U.   The number of words beginning I  is 5P5  =5!=120,  and those beginning R number 5!/2!  =120/2=60.  Then come words beginning 4!/2!=12. We get 3P3=3!=6  words beginning SUI, after which come the words SURIIT and SURITI. Thus the rank of SURITI is120+60+24+12+6+2=224.