Can one product affect another product's inventory

Would it be possible to set up several different products so that they, basically, act like one?
Let's say I one of each product, A,B,C, in stock. I would like to set it up so that if someone buys A,then B and C would no longer be in stock as well.
This is because I have a base product which can be modified. So really I only have one item in stock which can be sold three different ways.

Check out what I mean here.
https://www.sawavaughters.com/cart

Thanks for the help.

Let's say I one of each product, A,B,C, in stock. I would like to set it up so that if someone buys A,then B and C would no longer be in stock as well.
So really I only have one item in stock which can be sold three different ways.
I believe you need to add options as attributes
https://www.zen-cart.com/tutorials/index.php?article=57

And possibly add the 3rd party module "stock by attributes"

Thanks kobra.
I'll check that out. It's pretty confusing stuff, but you guys are really great at helping. Thanks.

So I installed the Stock by Attributes addon, but for the life of me, I just can't really seem to understand how to use it.

I made an attribute for the basic hat, and attached it to each variant. Then using Stock by Attribute, I set them all to use "1" for quantity.

So I thought that if I put 1 of any four choices in my cart, the rest would update as "out of stock", but this doesn't happen. Even the one I put in the cart shows up as "1 in stock" until I try to add it again to the cart. Then I get a warning, but just for that one choice.

Maybe I'm a bit thick, but this add-on seems extremely confusing to me.
Thanks all.

looked at your product and see no attributes to select from???

http: //www.sawavaughters.com/cart/index.php?main_page=product_info&cPath=103_105&products_id=391

Hi Kobra. Thanks for getting back so quick.
It actually does have an attribute, (at the bottom of the page it says "STYLE
PinTuckBrdTrlby") but I set it as read only, because I didn't really want people to be able to change it. I just added the attribute for use with "Stock by Attribute". (Like I said, I'm not really sure how to use it :) )

My understanding was that I could set a stock level across a single attribute. (So I was going to set up an attribute for each basic hat).