**Category:** Genetics  
**Subtype:** Mendelian Inheritance  
**Problem Description:** Determine the number of different genotypes in the offspring resulting from a cross between two specific parental genotypes, \(AAbb\) and \(aaBB\).  

**Summary:** The problem asks how many unique genetic combinations (genotypes) can be produced in the offspring when crossing the two given parental genotypes, assuming no mutations occur during meiosis.