EXHIBIT 32.1

                  CERTIFICATION OF THE CHIEF EXECUTIVE OFFICER
                       PURSUANT TO 18 U.S.C. SECTION 1350


In connection with the CarMax, Inc. (the "company") Quarterly Report on Form
10-Q for the quarter ended November 30, 2004, as filed with the Securities and
Exchange Commission on the date hereof (the "Report"), I, Austin Ligon,
President and Chief Executive Officer of the company, certify pursuant to 18
U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley
Act of 2002, that, to my knowledge:

       1.        The Report fully complies with the requirements of
                 Section 13 (a) or 15(d) of the Securities Exchange Act
                 of 1934, as amended; and

       2.        The information contained in the Report fairly
                 presents, in all material respects, the financial
                 condition and results of operations of the company as
                 of, and for, the periods presented in this Report.


Date:  January 7, 2005                       By:   /s/ Austin Ligon
                                                ------------------------

                                                Austin Ligon
                                                President and
                                                Chief Executive Officer