Which is the favourite on a random board of 5 cards?

A single four card hand from which two cards must be used, no less and no more,
or seven separate two card hands from any one of which either or both can be used.

To clarify: On AdKdQdJd5c the four card hand would not have a Royal Flush with the Td but any one of the NLH hands would if they held it.

How would one go about simulating this?

For funsies I have attached a poll where you can put your guess in.

one plo hand has six two card combinations. that plus the ability to play 4 or 5 cards from the board would make the NL hands favored

In theory it would indeed; but how would one go about working out the actual math behind it or Monte Carlo simulating it?

I believe it possible to mathematically prove as well based on the facts given. it seems intuitive to me - everyone has random cards but the nlhe hands have sooooo many more combinations.
you could write your own program too if you're curious. I am pretty sure there are open source libraries that could calculate the winning 5 cards... then run it a million times or whatever.

This should have been posted in the Poker Theory Forum or the Probability Forum. This will be moved to the Probability Forum as the best forum to resolve or answer the question(s) in hand.

Yes, obviously there will be more people that know how to provide proofs of complex questions outside the freaking Math forum.

There's probably thousands of people who know how to enter this into Matlab here in the forum where every question can be answered by someone who has gone through middle school.

Poor decision mate.

Turns out, you're a dick. I was going to take a stab at this, but not any more.

I don't understand this. Are you suggesting that anyone who went though middle school can answer your question? Or are you suggesting that all questions posed in the probability forum can be answered by someone who went through middle school. Either way, both suggestions are clearly false.