What strategies does Odysseus use to overcome Scylla and Charybdis?

The strategy or choice he had was to lose several men or to lose all his men. Charybdis, being a whirlpool, would cause Odysseus to lose everyone whereas Scylla, being a monster, would mean he lost several men. It is a classic example of being between a rock and a hard place or a Catch-22 where whichever choice he makes, people will die. So he chooses to lose a few rather than all.