This is not an unreasonable question.
all have strings of the form [numeral] + [plural-form noun before the head noun] + [head noun]. The first three examples are fixed in form.
But these are not typical; usually, even after a numeral or plural-triggering quantifier like 'many', nouns used prenominally are in the singular form.
I'll list Tim's examples with measures (units):
- a six-inch line
- a ten foot ladder
- a six mile run
- a two-second gap
- a ten-degree difference
- a two-year-old boy
- a ten-gallon hat
and add his, Kate's, Peter's and Stuart's examples with other prenominal nouns ('quasi-units?'):
- a five-alarm fire
- a three-pipe problem
- a four-room apartment
- a three-dog night
- a four-horse open sleigh
- an eight-man crew
- a five-star review
- the seven year itch
- a three-piece suite
- a 38-piece orchestra
- the ten step program
- a two-horse town / race
- a 21-gun salute
- a three-ring circus
- a three-point turn
- a three-bar electric fire
- Two Gun Tex of Texas (!!)
So the Three-body Problem is of the usual form – and not an exception – as looking up the term will confirm).