On October 26, 1965, the military lifted its ban on drafting childless married men.
On July 28, 1966, Dick Cheney's eldest child, Elizabeth Cheney was born. That's nine months and two days after the military lifted its ban. This earned him his fifth deferment from the draft.
I'm not saying that Elizabeth Cheney should feel bad about being conceived in draft avoidance. People get conceived under embarrassing circumstances fairly often, and I'd feel pretty good about my existence preventing my Dad from having to fight in a bad war. I do wonder, though, what draft avoidance sex is like.