Rita is in the 9th place from the right.
Monika is in the 10th place from the left.
After they interchange places:
⇒ Rita is in the 17th place from the right.
⇒ Monika is in the 18th place from the left.
Before interchange:
⇒ Total girls = Position from the left + Position from the right - 1
After interchange:
⇒ Rita's new left position = 18
⇒ Monika's new right position = 17
The total number of girls =18+17−1=34
However, since Rita and Monika occupy different positions and we don't have enough information to reconcile these positions, we cannot definitively determine the total number of girls in the row based on the information provided.
So, the correct option is (D): Data inadequate.