It's not clear where basketballers go when they end their careers, but much of their memorabilia winds up in the Basketball Hall of Fame, which houses jerseys, photos and other remainders of the game's greats.

You can visit the Hall of Fame, but for those not headed toward Springfield, Mass., there's a free booklet called "Basketball Was Born Here." The game originated on the campus of Springfield College, and the booklet tells how the ball got rolling - and bouncing - under the guidance of Dr. James Naismith.

You'll also learn the truth about the two apple buckets usually said to have been the first baskets. Write to the Basketball Hall of Fame, Box 175, Highland Station, Springfield, Mass. 01109. HELP ON DES

Between 1940 and 1971, many women were given DES (diethylstilbestrol), a synthetic female hormone, which was used to prevent miscarriages, to suppress lactation and to replace hormone production lost during menopause.

The drug, unfortunately, was found to increase the risk of certain type of vaginal cancer for the daughters of those who took it. Any woman exposed to DES should obtain copies of "Were You or Your Daughter Born After 1940?" (free from Office of Cancer Communications, Dept. L, National Cancer Institute, Bethesda 20014; and "DES-The Facts" available by sending a long, stamped, self-addressed envelope to DES Action, Box 1977, Plainview, N.Y. 11803.

Those wishing to submit freebies for use in this column should send them to the Weekend section, The Washington Post, 1150 15th St. NW, Washington, D.C. 20071.