  Given a suitable collection of partitions of sets, there exists a connection
to easy quantum groups via intertwiner maps. A sufficient condition for this
correspondence to be one-to-one are particular linear independences on the
level of those maps. In the case of non-crossing partitions, a proof of this
linear independence can be traced back to a matrix determinant formula,
developed by W. Tutte. We present a revised and adapted version of Tutte's work
and the link to the problem above, believing that this self-contained article
will assist others in the field of easy quantum groups. In particular, we fixed
some errors in the original work and adapted notations, definitions, statements
and proofs.
