You can interleave the orderings. If there are two episodes (1 and 2), we only have to watch three episodes in a row: 121. Then, we've watched all permutations

You can interleave the orderings. If there are two episodes (1 and 2), we only have to watch three episodes in a row: 121. Then, we've watched all permutations -- 12 and 21. The "14!" solution (where we watch 14x14! episodes) means there is no interleaving -- we just watch each permutation in turn. In our 2-episode example, we'd have to watch one extra episode (for a total of 2x2! = 4), e.g. in the order 1221.