Lizardfolk barbarian natural attacks - did I get that right?

[Kriegerr]

Hi!
So I want to play a lizardfolk barbarian. We're using only the SRD.
She's level 1. The SRD lizardfolk has three natural attacks: a primary bite (1d6+str) and two secondary claws (1d4+1/2str). While raging, she has 24STR. She has two feats: power attack and multiattack. Now, if I got it right, enraged, using Power Attack and Multiattack and using the full attack, she'll make a grand total of three attacks:
One +7 1d6+9, and two +5 1d4+4 attacks. That seems pretty solid for first level, and I haven't seen this build detailed online, which leads me to believe I got something horribly wrong.

Thanks guys!

Edit: sorry, I couldn't have fit more "attack" words in that short paraghraph if I tried.

[Volkard Abendroth]

Multiattack is used to reduce the penalties on secondary natural attacks.

All of the lizardfolk's natural attacks are primary.

It should be:

bite: +7 (1d6+9/20/x2)
claw: +7/+7 (1d4+9/20/x2)

[Kriegerr]

That's... even better? Do I get to take all 3 on a full attack, or I have to choose between either making one bite or two claws?

Just checked, I make all three, and it frees up a feat since Multiattack is unnecessary. That's straight up nasty and makes for a cool, unique fighting style. Thanks a lot!

[Volkard Abendroth]

All three on a full attack.

Natural attack barbarians are insanely good.

At second level use your rage power to get gore, for a 4th attack.

[blahpers]

Yep, lots of monsters make for excellent barbarians.