There is information on connectors here.
http://www.playtool.com/pages/psuconnectors/connectors.html
You can plug a 24 pin supply, into a 20 pin motherboard, like this.
Pin 1 aligns with pin 1, and there will be four pins hanging off one
end. The plastic latch on the connector, will align with its mate
on the motherboard. This will not work, if there happens to be an
electrolytic capacitor on the right-hand end of the white connector
(which sometimes happens).
http://www.playtool.com/pages/psuconnectors/24in20.jpg
You can also plug a 20 into a 24. Again, pin 1 to pin 1,
latches mating. The 24 pin ends up with four pins unconnected,
but they are redundant pins. The motherboard still works.
Only if a couple 6600 video cards were installed, would
there be a problem with too much current flowing in the
single yellow wire. Your mini-ITX would not allow that
anyway (not enough expansion slots).
http://www.playtool.com/pages/psuconnectors/20in24.jpg
When I need to measure voltages on the connector (taking
last picture as a reference), if I look down into the
back of the power supply connector (black), I will see
exposed metal for each crimped pin. Those side-angle
photos don't show enough of the back of the connector,
to make that apparent. I shove the multimeter probe, into
the back of the PSU connector, to take measurements. I
sometimes use a needle probe (sewing needle with wire
wrapped around the outside to hold it in place), for
recessed measurements. So it is possible to get a
measurement off the thing.
*******
I purchased an extension cable at the computer store, like this.
http://www.playtool.com/pages/psuconnectors/20to24adapter.jpg
Those come in various combinations. 20 to 20. 24 to 20. The
20 to 20 (cost me $8.00), could be used to solve the
problem of a capacitor getting in the way of plugging a
24 PSU to a 20 motherboard. The nice cables, will be constructed
with proper wire colors, to hint at proper connection. But the
one I bought, they didn't bother with proper color coding. And
$8 was a bit much for such a thing. It should have been
cheaper than that.
You can also build your own cables. My one good electronics
store in town, used to stock all the parts. That's how I got
the connector bits, to build my own load box for PSU testing.
*******
A "latching" power supply, is one in which the voltage
regulator detects a current flow fault (short circuit),
and the regulator shuts off and "remembers" that a
fault has occurred. It does this, to prevent fire or
damage, and is appropriate for high power devices. It
takes electricity to do the "remembering", and completely
turning off the flow of power (unplug from wall if need be),
will reset the detection feature.
There were some other power devices, where "put put" mode
is used. The regulating device, retries about once a
second, and shuts off immediately if overcurrent is
detected again. Circuits that retry, are good for
situations where you know there may be a heavy load
at startup, which might trigger overcurrent, but you
are confident it will resolve itself. A circuit like
that, may detect just one overcurrent event at startup,
retry, and come all the way up. So that is the other
philosophy of design. That was popular with things
around the year 2000. If there is a real short
circuit, the physical location where the fault is
may get warm or hot, from the retries happening
once a second. With the power circuit that latches
off, things remain ice cold (safe).
*******
The pico supplies, use a DC-DC converter on a
circuit board, to convert voltage from a wall adapter,
into multiple DC voltages for a miniITX board. This could
be the style of power source you have for your mini-ITX.
These are available, up to about 120 watts. The one
pictured here is rated for 80 watts max.
http://static.mini-itx.com/store/images/1876-picopsu80.jpg
You power the input of a pico supply, with a wall adapter
like this one. This is rated 110 watts for example, enough
to run a pico 80. You are expected to read the voltage
rating of the two devices (input range), to make sure you're
mating "like with like".
http://www.mini-itx.com/store/images/psu.jpg
There are some pico supplies, intended for automotive
usage, with wide input range, and cutoff to prevent
total draining of the car battery.
Plenty of fun toys for mini-ITX users, assuming
the mini-ITX actually does something useful for them...
Paul