Some basic code:
$month = 12;
$weekdays = array();
$d = 1;
do {
$mk = mktime(0, 0, 0, $month, $d, date("Y"));
@$weekdays[date("w", $mk)]++;
$d++;
} while (date("m", $mk) == $month);
print_r($weekdays);
Remove the @ if your PHP error warning doesn't show notices.