On my server Linux Redhat Enterprise 5.0 i want to configure dhcp server but when i check the dhcp status the dhcpd was stopped and i try to invoked or to start it failed. Even when open the graphical mode service configuration, check the box and click start the output error message is dhcp failed. the error: Starting dhcpd:Failed.
How would i start the dhcpd service to run

well you need to look in your logs for a start, we can never tell you anything useful just the word "Failed".

the output of the /var/log/messages
Jul 9 10:49:58 Graphics-Server dhcpd: Internet Systems Consortium DHCP Server V3.0.5-RedHat
Jul 9 10:49:58 Graphics-Server dhcpd: Copyright 2004-2006 Internet Systems Consortium.
Jul 9 10:49:58 Graphics-Server dhcpd: All rights reserved.
Jul 9 10:49:58 Graphics-Server dhcpd: For info, please visit http://www.isc.org/sw/dhcp/
Jul 9 10:49:58 Graphics-Server dhcpd:
Jul 9 10:49:58 Graphics-Server dhcpd: ** You must add a global ddns-update-style statement to /etc/dhcpd.conf.
Jul 9 10:49:58 Graphics-Server dhcpd: To get the same behaviour as in 3.0b2pl11 and previous
Jul 9 10:49:58 Graphics-Server dhcpd: versions, add a line that says "ddns-update-style ad-hoc;"
Jul 9 10:49:58 Graphics-Server dhcpd: Please read the dhcpd.conf manual page for more information. **
Jul 9 10:49:58 Graphics-Server dhcpd:
Jul 9 10:49:58 Graphics-Server dhcpd: If you did not get this software from ftp.isc.org, please
Jul 9 10:49:58 Graphics-Server dhcpd: get the latest from ftp.isc.org and install that before
Jul 9 10:49:58 Graphics-Server dhcpd: requesting help.
Jul 9 10:49:58 Graphics-Server dhcpd:
Jul 9 10:49:58 Graphics-Server dhcpd: If you did get this software from ftp.isc.org and have not
Jul 9 10:49:58 Graphics-Server dhcpd: yet read the README, please read it before requesting help.
Jul 9 10:49:58 Graphics-Server dhcpd: If you intend to request help from the dhcp-server@isc.org
Jul 9 10:49:58 Graphics-Server dhcpd: mailing list, please read the section on the README about
Jul 9 10:49:58 Graphics-Server dhcpd: submitting bug reports and requests for help.
Jul 9 10:49:58 Graphics-Server dhcpd:
Jul 9 10:49:58 Graphics-Server dhcpd: Please do not under any circumstances send requests for
Jul 9 10:49:58 Graphics-Server dhcpd: help directly to the authors of this software - please
Jul 9 10:49:58 Graphics-Server dhcpd: send them to the appropriate mailing list as described in
Jul 9 10:49:58 Graphics-Server dhcpd: the README file.
Jul 9 10:49:58 Graphics-Server dhcpd:
Jul 9 10:49:58 Graphics-Server dhcpd: exiting.
[root@Graphics-Server ~]#
and the output of the dhcp.conf
# Graphics Department
subnet 10.2.10.0 netmask 255.255.255.0 {
ddns-update-style ad-hoc;
ddns-updates on;
option broadcast-address 10.2.10.255;
range 10.2.10.10 10.2.10.254;
}

seems like everything is all right in your config file?
this is 1 of our group sec.

group {
option domain-name "domain.com";
option routers 192.168.0.1;
option domain-name-servers 10.0.10.3;
option netbios-name-servers 192.168.1.112;
option netbios-dd-server 192.168.1.112;
option netbios-node-type 8;