I wish I could remember which story it was specifically out of that collection. I know for sure that it isn't Night of the Trolls, Superiority, or Committee of the Whole (which is at least good for a laugh post-9/11).
It was after humanity's first contact while exploring some other solar system. Then, as if Earth lacked any formal military tradition before this, they have to build up a military force to fight in space. Not sure what it will be like, they conscript a bunch of random genius young men and women, have them undergo arduous physical training, then ship them off to the moon for actual training in space using spacesuits that function slightly as low grade power armor (no flight or built-in weapons). You know, instead of seeing if any of the men and women in the world's navies, air forces, army, or various space organizations might have the proper experience and physical conditioning already. That's especially odd given NASA's close relationship with the USAF.
Anyway, all the women get passed around because free sex future and there's no repercussions when the training methods wind up killing some of the trainees. That's just how things are. Also, in a bit of a spoiler on a 50 year old story, they've had all the cadets brainwashed by hypnotists who implant xenophobic responses and imagery into their brains, including sounded like tentacle hentai, in order to make them more willing to lose self control and go into a murderous rage around the aliens. The ones they have yet to even find a way to communicate with.
Good job drafting college-age people for their intelligence only to completely take that advantage away from them whenever you go to send them into battle. Why couldn't they have just picked up Bubba, given him a spacesuit with a Confederate flag on it, and told him the aliens wanted to destroy his muddin' truck? (I used to live next to this person I just described, save for the spacesuit).