Here's some draft info about the years in question, courtesy of an article about one Mr. Dick Cheney...
In February 1962, when Mr. Cheney was classified as 1-A — available for service — he was doing poorly at Yale. But the military was taking only older men at that point, and like others who were in college at the time, Mr. Cheney seemed to have little concern about being drafted.
In June, he left Yale. After returning home to Casper, a small city in east-central Wyoming, he worked as a lineman for a power company.
At that point, the Vietnam War was still just a glimmer on the horizon. In 1962, only 82,060 men were inducted into the service, the fewest since 1949. Mr. Cheney was eligible for the draft but, as he said during his confirmation hearings in 1989, he was not called up because the Selective Service System was taking only older men.
But by 1963, ferment in Vietnam was rising. Mr. Cheney enrolled in Casper Community College in January 1963 — he turned 22 that month — and sought his first student deferment on March 20, according to records from the Selective Service System. After transferring to the University of Wyoming at Laramie, he sought his second student deferment on July 23, 1963.
On Aug. 7, 1964, Congress approved the Gulf of Tonkin resolution, which allowed President Lyndon B. Johnson to use unlimited military force in Vietnam. The war escalated rapidly from there.
Just 22 days later, Mr. Cheney married his high school sweetheart, Lynne. He sought his third student deferment on Oct. 14, 1964.
In May 1965, Mr. Cheney graduated from college and his draft status changed to 1-A. But he was married, which offered him some protection.
In July, President Johnson announced that he was doubling the number of men drafted. The number of inductions soared, to 382,010 in 1966 from 230,991 in 1965 and 112,386 in 1964.
Mr. Cheney obtained his fourth deferment when he started graduate school at the University of Wyoming on Nov. 1, 1965.
On Oct. 6, 1965, the Selective Service lifted its ban against drafting married men who had no children. Nine months and two days later, Mr. Cheney's first daughter, Elizabeth, was born. On Jan. 19, 1966, when his wife was about 10 weeks pregnant, Mr. Cheney applied for 3-A status, the "hardship" exemption, which excluded men with children or dependent parents. It was granted.
In January 1967, Mr. Cheney turned 26 and was no longer eligible for the draft.
Of the 26.8 million men who were eligible for the draft between 1964 and 1973, only 2.2 million were drafted while 8.7 million joined voluntarily, according to "Chance and Circumstance: the Draft, the War, and the Vietnam Generation," a 1978 book by Lawrence M. Baskir and William A. Strauss. Mr. Cheney was among the vast majority of 16 million men — about 60 percent of those eligible — who avoided the draft by legal means.
The deferment process proved controversial, discriminating against men who were black or poor, and a lottery was introduced in 1969. President Nixon did away with student deferments in 1971 and the draft ended in 1973.