* One light source: One shadow. This is the most common scenario.
* Multiple light sources: Multiple shadows. If there are two light sources, there will be two shadows, potentially overlapping or distinct depending on their positions. The same principle applies for any number of light sources.
The beard itself will cast internal shadows, within the beard itself due to the way the hairs clump and block light. But these aren't *external* shadows cast onto a surface, so it depends on how you interpret the question.
Therefore, the answer depends on the lighting condition.