One of the things I have been thinking about is "What combination of three letters has the most permutations?"
For any group of three letters, there are six different combinations. For example...
ABC
ACB
BAC
BCA
CAB
CBA
That's just an example, and it yields just one legitimate English word, CAB, unless BAC is also a word.
I've not found a group that makes words in any order.
Or five.
I've found one that makes four:
SAP - ASP - SPA - PAS (the last word is a dance step closely derived from French but it's in the dictionary)
Here are some that make three:
APT - PAT - TAP
ART - TAR - RAT
TOP - POT - OPT
ERE - REE - ERE
ERA - EAR - ARE
It would be easier if I included acronyms.
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