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1. To determine PnQ (intersection) and PUQ (union) for the sets P = {1,2,3,4} and Q = {3,4,5,6}:
- PnQ (intersection): This includes elements that are common to both sets P and Q. In this case, PnQ = {3,4} as these numbers are present in both sets.
- PUQ (union): This includes all unique elements from both sets P and Q without repetition. Therefore, PUQ = {1,2,3,4,5,6} combining all elements from both sets.
2. Relating PnQ and PUQ to array manipulation in programming:
- PnQ can be likened to finding common elements between two arrays. When manipulating arrays in programming, this operation helps identify shared elements for specific operations or comparisons.
- PUQ can be associated with merging arrays without duplicates. In programming, when combining arrays or sets of data, the union operation ensures that each unique element is included only once in the resulting array, similar to the concept of union in sets.
Understanding these set operations (PnQ and PUQ) and their connections to array manipulation in programming can help in efficiently managing and processing data in software development and algorithm implementation.
