I was thinking about this today and I am absolutely sure that 10 men can win, probabll with less than 3 deaths. I wouldn't be surprised if, assuming this was a chance encounter with no motivations whatsoever, the men could could just stand in a pack and look much bigger, scaring away the Tiger.
Say the Tiger wants to attack? Well yes it has massive claws and some deadly teeth, but those teeth are all in one mouth. It can only bite one person at any one moment, and from what I remember the like to suffocate their prey by biting the neck. So that means the mouth is going to be occupied for some time (anywhere from 2 two seconds to two minutes I'd say), with a large body hanging from its mouth. I'd say that's ample time for 9 other men to attack, especially if all 10 charged at once from the start. Of course poke out the eyes and then just beat the shit out of it from there. IMO Tiger only really stands a chance if its a surprise attack.