Hi Nasser,
\documentclass[12pt]{article} \usepackage{amsmath} \begin{document} $\widehat{\dbinom{\odot_\text{v}\odot}{\wr}}$ \end{document} May be the latex code here is also not valid?. I did not write the above latex code myself. I found it long time ago on the net. Do not remember now from where.
Yes, this is the same case, you have \odot_\text{v} here. Subscripts need to be encloded properly in braces as well.
Best regards, Michal