  Recently, two first authors have introduced a group invariant, which is
related to the number of elements $x$ and $y$ of a finite group $G$ such that
$x\wedge y=1$ in the exterior square $G\wedge G$ of $G$. Research on this
probability gives some relations between the concept and Schur multiplier and
the capability of finite groups. In the present paper, we will generalize the
concept of exterior degree of groups and we will introduce the multiple
exterior degree of finite groups. Among the other results, we will state some
results between the multiple exterior degree, multiple commutativity degree and
capability of finite groups.
