username ALL =(ALL) NOPASSWD: ALL
or:
@group ALL=(ALL) NOPASSWD: ALL
The standard group is sudo, so the record will look like:
%sudo ALL=(ALL:ALL) NOPASSWD: ALL
$ sudo -u $user -g $group $command
To allow this plase in /etc/sudoers:
username ALL =(ALL:ALL) NOPASSWD: ALL