How many ways can you throw something?

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I was at work last night. That was strange in and of itself because it's been some weeks since I've worked third shift, having acclimated to the later part of second, early part of third shift. I survived it though, and was able to keep awake the entirety of the night with constant busy work. That is neither here nor there in regards to what I am talking about here. I was in the break room when I came across a sign on the employee fridge. I won't upload the picture that I took, half out of laziness and half because the paper it is written on would divulge the exact store I work for... With that being said, someone (most likely the HBA lady or scan office lady) posted a notice, as follows: "Please Label and Date the food you put in the fridge will be throwed away after one week" I, the sarcastic person I am, marked out "throwed" and put "thrown is the past tense of throw." I am not sure how it will be received, nor do I care how. It may not even be noticed by the person who wrote the sign. That brings me to my question.. .How many tenses of "throw" are there? Well there's Thrown (as I mentioned), then there is threw. I had a bit of an argument with someone about whether "Throwed" was an actual word. I believe it to be, but it wasn't correct in the sentence above. "It will be thrown away" would work for the above statement, if one was to add the word it. As it were, they put "will be" and so without adding a word "thrown" would be better to replace "throwed." "Threw" wouldn't work at all in this sentence because "threw" suggests an already completed action. "Thrown" is also past tense but can denote an action yet to be completed... No, I am not a grammatical genius. I may not be completely right here in my assessment, however, I still believe "Throwed" to be the wrong word here. What say you? (I know I over analyze too much)