Hmm..one thing I used to do is carry both.The balisong was hung vertical on my right hip in an open top sheath.The throwing knife was in a horizontal sheath on the belt,in back of me.I could effectively puul the throwing knife,make my throw...and just after release,pull out the balisong with the same hand.
I still do a "gunslinger" approach to carrying my balisong.It's a quick draw,and I can even close the knife and stick it directly back into the sheath in the same move...without looking.It looks cool when done right..although some sheaths do tend to fold a bit at the top,if they're open top design.
As for going against a sword wielding opponent,it's kinda tricky.If the person holding the sword is holding it almost like a bat and seems nervous,he doesn't know what he's doing.If he looks calm,he knows what he is doing.Either one is tricky to go against,but chances are you can *usually* (not always) intimidate the nervous one..but it's still safer to just go along with what he wants...just in case.
I am a longtime user of swords of many types,and have learned several styles..including un-armed vs. sword.But no matter what,unless you've got training in knives & un-armed vs. swords/staves and are really good..I wouldn't chance going against a nutcase with a sword or any other long weapon.
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*The* Lunatic Puppy
It wasn't me...It was my *good* twin..
My "inner puppy" made me do it..