DHCP: One NIC and multiple subnets

I'm setting up a Debian to work as a gateway for a small office network. I need to have three subnetworks for different areas within the company and I will define which PCs will get what IP based on their MAC addresses.

My question is: is it possible to handle DHCP for 3 subnets with a single NIC? how?

I tried setting up on virtual interface for each network like this:

# ip addr show dev eth2
4: eth2: <BROADCAST,MULTICAST,UP,LOWER_UP> mtu 1500 qdisc pfifo_fast state UP qlen 1000
    link/ether 6c:f0:49:a4:47:38 brd ff:ff:ff:ff:ff:ff
    inet 192.168.1.10/24 brd 192.168.1.255 scope global eth2
    inet 10.1.2.1/24 brd 10.1.2.255 scope global eth2:1
    inet 10.1.3.1/24 brd 10.1.3.255 scope global eth2:2
    inet 10.1.1.1/24 brd 10.1.1.255 scope global eth2:0
    inet6 fe80::6ef0:49ff:fea4:4738/64 scope link 
       valid_lft forever preferred_lft forever

Note: eth2 is using 192.168.1.10 because the box is not currently the network gateway. This is just temporary.

Then I set up my dhcpd.conf like this:

ddns-update-style interim;
option domain-name "mydomain.com";
option domain-name-servers ns1.mydomain.com;
default-lease-time 86400;
max-lease-time 86400;
authoritative;
log-facility local7;

subnet 10.1.1.0 netmask 255.255.255.0 {
        range 10.1.1.100 10.1.1.254;
        default-lease-time 86400;
        max-lease-time 86400;
        option routers 10.1.1.1;
        option ip-forwarding off;
        option broadcast-address 10.1.1.255;
        option subnet-mask 255.255.255.0;
        option ntp-servers 10.1.1.1;
        option domain-name-servers 10.1.1.1;
}

subnet 10.1.2.0 netmask 255.255.255.0 {
        range 10.1.2.100 10.1.2.254;
        default-lease-time 86400;
        max-lease-time 86400;
        option routers 10.1.2.1;
        option ip-forwarding off;
        option broadcast-address 10.1.2.255;
        option subnet-mask 255.255.255.0;
        option ntp-servers 10.1.2.1;
        option domain-name-servers 10.1.2.1;
}

subnet 10.1.3.0 netmask 255.255.255.0 {
        range 10.1.3.100 10.1.3.254;
        default-lease-time 86400;
        max-lease-time 86400;
        option routers 10.1.3.1;
        option ip-forwarding off;
        option broadcast-address 10.1.3.255;
        option subnet-mask 255.255.255.0;
        option ntp-servers 10.1.3.1;
        option domain-name-servers 10.1.3.1;
}

But when I try to launch dhcpd I get this:

# dhcpd -4 eth2:0 eth2:1 eth2:2
Internet Systems Consortium DHCP Server 4.1.1-P1
Copyright 2004-2010 Internet Systems Consortium.
All rights reserved.
For info, please visit https://www.isc.org/software/dhcp/
Wrote 0 leases to leases file.

No subnet declaration for eth2:2 (no IPv4 addresses).
** Ignoring requests on eth2:2.  If this is not what
   you want, please write a subnet declaration
   in your dhcpd.conf file for the network segment
   to which interface eth2:2 is attached. **


No subnet declaration for eth2:1 (no IPv4 addresses).
** Ignoring requests on eth2:1.  If this is not what
   you want, please write a subnet declaration
   in your dhcpd.conf file for the network segment
   to which interface eth2:1 is attached. **


No subnet declaration for eth2:0 (no IPv4 addresses).
** Ignoring requests on eth2:0.  If this is not what
   you want, please write a subnet declaration
   in your dhcpd.conf file for the network segment
   to which interface eth2:0 is attached. **


Not configured to listen on any interfaces!

I'm really new to DHCP, so I'm probably missing something obvious. I've been googling for a while but I can't find the answers I need or I'm not searching right.

Since the three subnets share the same medium (eth2), they should be declared inside the same shared-network:

shared-network my-net {
  subnet 10.1.1.0 netmask 255.255.255.0 {
    ...
  }

  subnet 10.1.2.0 netmask 255.255.255.0 {
    ...
  }

  subnet 10.1.3.0 netmask 255.255.255.0 {
    ...
  }
}