Yes, multi-programming is possible without any interrupts. Provided that a given type of code is properly written then multi-programming is possible without any interrupts.
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Those would be software interrupts. Interrupts initiated by the hardware would be hardware interrupts. While the socket a mouse is plugged into would use a hardware interrupt, a mouse driver would use a software interrupt.
Two possible security problems could be: copying another user's data; using system resources (CPU, memory, disk space) without proper accounting.
multiprogramming
Interrupts in computer systems are used to temporarily pause the current process and redirect the CPU's attention to a higher-priority task, such as handling input/output operations or responding to hardware events. This helps improve system efficiency by allowing the CPU to quickly address urgent tasks without wasting time on less critical processes.
24... n that is the correct answer..