Well, having yet read neither Sun Tsu nor Clausewitz, this is more or less speculative:
Basically, it comes down to a conflict between heavy infantry and light(er) infantry, althought the trolls can be almost considered as hammer-units similar to heavy cavalry.
A single orc does not stand a chance against a single troll. A thousand orcs stand a small chance against a thousand trolls because orcs have low cunning, and a better organisation than trolls without a leading lieutenant. On the other hand, the dim-wittedness of trolls and their natural grimness might prove to convey a better morale in battle, at least better than that of the orcs. The 1,000 orcs of the example would most likely turn tail and flee rather than to fight at all.
Of course, all of this changes if the numbers are inequal - orcs were always more numerous by far - or when the quality and equipment of the troops is different. Are the orcs riding vargs? Do they have archers? If so, how many? How are both sides armoured? What race are they, small pesky Misty Mountains-snagas, or fighting Uruk-Hai; Olog-Hai or the like of Bilbo's three trolls, or are they sun-resistant First Age-trolls? [img]smilies/wink.gif[/img] How are they lead, how many champions do they have, or standards? The battlefield is important, the fitness, the weather...
But if 1,000 Mordor orcs with swords and no leader battler 1,000 trolls with clubs and no leader, and both sides fought on an open plain under clear moonlight, no question, the trolls would win.
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