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Now, subtract the number of invalid selections where both conflicting startups are included. Suppose the two conflicting startups are A and B. If both A and B are selected, the third startup must be chosen from the remaining 6:
Question: A retired engineer volunteers to demonstrate a timed exhibit where a visitor presses a sequence button 5 times, each press selecting one of 4 different educational modules. If the sequence must contain at least one of each module, how many distinct sequences are possible?
Solution: We use the principle of inclusion-exclusion. The total number of unrestricted sequences with 5 presses and 4 modules is:

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