A group of "space Marines" are returning from defending our planet against carnivorous alien invaders. 79 per cent of the Marines have lost an arm, 84 per cent have lost a leg, 76 per cent have lost an ear, and 71 per cent have lost an eye. It clearly was one heck of a battle.
What percentage of these combatants, at the very least, must have lost all four body parts?
I have changed the circumstances and the numbers, because this math puzzle was first formulated in the 1800s by Carolus Lodovicus, a famous Oxfordian mathematician, and I didn't want you guys to Google the keywords. If your answer is anything other than zero, you must explain why. This is the final exam; the result counts for 100% of your grade for the semester. Summer vacation begins tomorrow.
Credit for finding this goes to Anne Fadiman.