Secretary of Education William Bennett joined a Washington rock 'n' roll radio station Friday morning, detailing his lifelong allegiance to the music and lamenting his status as its only fan in the Reagan Cabinet.

"I have your basic core curriculum of rock 'n' roll," Bennett said in a 15-minute stint on WASH-FM's morning drive-time program. "Del Shannon, Elvis Presley, the Shirelles, Buddy Holly . . . everything Buddy Holly ever sang."Bennett, 44, who edited a magazine on rock music while a student at Williams College in Williamstown, Mass., in the early 1960s, accepted a challenge by disc jockey David Burd to appear on the program and brought his wife, Elayne, and young son, John.

Disc jockeys played two songs during Bennett's appearance, "Our Day Will Come," by Ruby and the Romantics one of Mrs. Bennett's favorites and "Baby It's You," by the Shirelles.

Bennett, asked about other rock 'n' roll aficionados in the Reagan administration, said: "I don't think (there are any) in the Cabinet, I'm sorry to say, but there are some people around the White House," who share his taste in music.

Mrs. Bennett told the radio audience that knowing her husband had once dated late rock star Janis Joplin impressed her.

"He confessed while we were dating," that he went on a date with Joplin, she said. "I thought, `If he can go out with Janis Joplin . . . ' "

Bennett, appointed by Reagan in 1985 to oversee the nation's schools, touched on his own school experience while growing up in New York and Washington, D.C.

"My mother tried to make sure I wore pressed slacks," Bennett said. "But I'm your basic wrinkled person."