The correct drill bit size for a #10 screw depends on whether the wood is softwood or hardwood. For softwood, the recommended drill bit size is 7/64 inches or #42 gauge, while for hardwood, it is 9/64 inches or #36 gauge. It is important to note that there are different types of #10 screws, such as AB self-tapping screws, type B self-tapping screws, or Type 25 thread-cutting screws, which may require different drill bit sizes. When choosing a drill bit, it is recommended to start with a smaller size and compare it to the screw without its threads. If it is too tight, a larger diameter drill bit can be used to widen the hole.