- The document discusses nested selection structures, which involve making multiple decisions using if/else statements. This allows for primary and secondary decisions to be made before executing code. - Nested selection structures are useful when more than one condition must be evaluated to determine the proper course of action. They can be represented through flowcharts and coded in C++ using proper indentation. - Common logic errors in writing nested structures include using compound conditions instead of nesting, reversing the order of decisions, having unnecessary nesting, or including redundant comparisons.