Can't get this error...

[carp]

Warning: Wrong parameter count for mysql_result() in /home/djstop/public_html/test/phatfx.php on line 252

Warning: mysql_num_rows(): supplied argument is not a valid MySQL result resource in /home/djstop/public_html/test/phatfx.php on line 254

    case "admin_login" :

        myconnect();
    $query = "SELECT * FROM `members` WHERE `username` = '$username' AND `password` = '$password' LIMIT 1";

    $result = mysql_result($query);

    if (mysql_num_rows($result) == 0) {
    echo "<center>Sorry, Username and password do not match. Being redirected to main page.</center>";
?>
    ///////////////////////////////
<?
        } else {
    session_start();
    session_register(username);
    session_register(password);
    echo "<center>You were logged in successfully, Being redirected to the admin section!</center>";
    ?>
    <meta http-equiv="REFRESH" content="0; url=phatfx.php?action=admin_loggedin" target="_self">
<?
    

    }
        myclose();
break;

With that, I get the 2 errors I posten in the top of this thread. Can someone please help me? Thanks!