  This paper is concerned with the following biharmonic problem
\begin{equation}\label{ineq} \begin{cases} \Delta^2 u=|u|^{\frac{8}{N-4}}u
&\text{ in } \ \Omega\backslash \overline{{B(\xi_0,\varepsilon)}},
  u=\Delta u=0 &\text{ on } \ \partial (\Omega \backslash
\overline{{B(\xi_0,\varepsilon)}}), \end{cases} \end{equation} where $\Omega$
is an open bounded domain in $\mathbb{R}^N$, $N\geq 5$, and
$B(\xi_0,\varepsilon)$ is a ball centered at $\xi_0$ with radius $\varepsilon$,
$\varepsilon$ is a small positive parameter. We obtain the existence of
solutions for problem (\ref{ineq}), which is an arbitrary large number of
sign-changing solutions whose profile is a superposition of bubbles with
alternate sign which concentrate at the center of the hole.
