Final answer:
The main difference is that a multiprocessor system contains multiple separate processors, while a multicore system has a single processor chip with multiple cores allowing for parallel processing.
Step-by-step explanation:
The difference between a multiprocessor and a multicore system involves how processing units are organized within a computer or device. A multiprocessor system consists of two or more separate microprocessors that can independently execute tasks and can be physically discrete chips. On the other hand, a multicore system contains a single microprocessor chip that includes multiple processing cores on it, allowing it to perform multiple processing tasks simultaneously. The cores in a multicore processor share certain resources, such as memory or input/output capabilities, which can allow for more efficient processing as compared to having multiple separate processors.