The alphabetical order of word REPEAT is AEEPRT.
Now the number of words start with R is,
=60 The number of words start with E is,
5!=120 The number of words stars with P is,
=60 The number of words starts with RA,
=12 The number of words starts with REA,
3!=6 The number of words starts with REE,
3!=6 The number of words starts with REPA,
2!=2 The number of words starts with REPEAT,
1!=1 So, the rank of word REPEAT is,
60+120+60+12+6 +6+2+1=267