# what is the rank of PARKAR in the dictionary

AA KPRR.

total number of letters = 6, in which A and R occur twice.

the number of words which starts with A is $\frac{5!}{2!}=5*4*3=60[\mathrm{sin}ceRoccurtwice$

the number of words which starts with K is $\frac{5!}{2!.2!}=\frac{5*4*3*2}{2*2}=30[\mathrm{sin}ceAandRoccurtwice$

now the number of words which starts with PAA = $\frac{3!}{2!}=3[\mathrm{sin}ceRoccurtwice$

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

**
**