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To determine the number of ways to choose 3 distinct foxes from a group of 12, where the order of selection is irrelevant, we use the combination formula:
Here, $ n = 12 $ and $ r = 3 $. Substituting into the formula:
Each episode consists of a selection of 2 topics from 5, and 1 animation style from 4. We compute the number of ways to choose the topics and multiply by the number of animation styles.
Number of ways to choose 2 topics from 5:
Total number of unique episode combinations: