how do i wire with what i have

I have the following equipment. How can I wire the speakers in so that it will work properly and not harm my system.

Hu-Pioneer DEH-P470MP

Amp-Alpine MRP-F240 V-power 4/3/2 ch, 75wx4 or 180x2, 360w max

Speakers-4 Pioneer TS-A1671R 6.5" 3way, 220w max, 35w nom, 4ohm

Sub-Pioneer TS-W300R 12" Max 600w, 150w nom, 4ohm

More info I found on amp:

75wx4(max) rms 14.4v power, 100wx2[4 bridged (0.3%thd)], 50wx4rms [2(.3%)], 40wx4rms [4(.08&thd)]

I'm pretty good at wiring, but I haven't messed much with amps and subs. I want to know I'm doing it right, so I don't burn something up. Any help would be appreciated.

You can get a system started with what you have but you will want to upgrade to a second amp and an upgraded sub someday.  The amp ratings misled me a little but I see that it produces 40 watts X 4, okay with those speakers.

To use what you got now...with this amp, use it as a 3-way so that the front pair of speakers use channels 1 and 2 independently, and the subwoofer is bridged to channels 3 and 4.  The sub would get 100 watts according to the specs.  The second set of speakers, used in the rear, can be connected to the speaker output wiring of the head unit and be powered from that.

If you get engine noise through the speakers when it is all installed, don't curse your work...curse that Pioneer head unit.

Do a search for Pioneer in this forum and you'll see a lot of problems with ground noise.  Hope your HU doesn't give you problems. 

It's the impedance load, not the number of speakers.  You want to run the amp at a 4 ohm load (look carefully at the specs you posted...see the .3% next to the number 2?  That's the harmonic distortion at a 2 ohm impedance.  Compare that to the percentage at 4 ohms....08%.  The sound quality would be almost 4 times better at 4 ohms than at 2 ohms, as far as the amp is concerned.  You always want to run speakers that play mid and high frequencies at 4 ohms or above because that harmonic distortion becomes terribly apparent at those frequencies.

A whole lot of speakers can be wired in series and parallel schemes so that the impedance arrives at the load desired for the amplifier.  You have to determine 1) why you have two sets of speakers, and 2) how you want to use them.  It is expected that you'll use a pair in the front and a pair in the rear....if that's not your goal let the forum know and we'll steer you onto the right track.  The power handling capacity of the speaker vs. the power output of the amplifier must always be considered, too.

Then, you need to look at the impedance of those speakers and find out...if you wanted to connect them together so you can put everything on the lone amplifier...how the impedance will change with the connections.  Look over to the left column and go through the woofer wiring wizard.  You have to know that a parallel connection would reduce the load to 2 ohms, and that a series connection would change the load to 8 ohms.  With that in mind, decide why you would want to do that and at what cost to your ultimate goal of a working sound system.  The 8 ohm load wouldn't harm the sound at all but you would lose the ability to fade front-to-rear.  So your system would not get to the point of adequate.

What I told you is the best way to use what you have.  I would prefer all speakers powered by the amp so that you have better sound and better control over it.  That's why another amp should be used for subwoofer use.  But like I said, you can get a starter system set up like that.  That's how I started...almost.  I have made the mistakes, though, that I'm advising you not to make.

What do you mean run 4 sets of speaker wires per speaker? Plus, with the exception of the sub, a car audio place has already installed. My vehicle was stolen and as I mentioned earlier, this equip is what they replaced it with. There is two sets of rca's from the hu to the amp. Obveously one front and the other rear. The back of the hu has 2 rca hook ups, one says front spkrs, other subs, which r hooked up 2 rears. The amp does have ch 1/2 gain and 80hz filter switch 3 position off/hp/lp. It also has ch 3/4 gain and bass eq 0 to +12db and filter switch 3 way off/hp/lp. It also has a set of pre out rca terminals ch 1+3 and ch 2+4. I don't know what these rca terminals are for. I also have a question @ spkr outputs. I know I can hook up 4 speakers on one ch using a paralell/series combo and still get 4ohms. Can I bridge 2 channels the same way and still get 4 ohms?