**How to Destroy the World:

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but we must divide by no overcounting factor since we are selecting specific individuals—each person is distinct, so no division is needed in this product approach. Thus, favorable outcomes are simply the product of individual choices:
The factor of 6 accounts for the 6 possible orders in which one can pick one from each field. However, note that the event all three from different fields does not depend on order, so a better approach is to compute the probability directly as:
Total number of ways to choose 3 applications:

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