what is the rank of PARKAR in the dictionary

to find the rank of PARKAR , let us arrange the letters in order as in dictionary order.
AA KPRR.
total number of letters = 6, in which A and R occur twice.
the number of words which starts with A is $\frac{5!}{2!}=5*4*3=60 [\sin ce R occur twice$
the number of words which starts with K is $\frac{5!}{2!.2!}=\frac{5*4*3*2}{2*2}=30 [\sin ce A and R occur twice$
now the number of words which starts with PAA = $\frac{3!}{2!}=3 [\sin ce R occur twice$
the number of words which starts with PAK is $\frac{3!}{2!}=3$
the number of words which starts with PARA is 2! =2
the next word is PARKAR 
therefore the rank of PARKAR in dictionary is 60+30+3+3+2+1 = 99

hope this helps you