HT1420 my computer crashed and we replaced it with a new mac - but when I try to open itunes it states that I already have 5 computers authorized - since the computer crashed and is in the trash, I can't deauthorize it in order to set up the new mac....wh

computer crashed and is in the trash - thus can not deauthorize it to allow me to the new computer - what can i do?

It has always been very basic to always maintain a backup copy of your computer for just such an occasion.
Use your backup copy of your computer to put everything on the new one.
It sounds like you have failed to do this, which is not good at all.
You will have to transfer your itunes purchases from your iphone.  Authorize your computer for your itunes account 
About iTunes Store authorization and deauthorization
Open itunes, plug in iphone, do NOT sync, click File>Transfer Purchases
When you do sync you will lose your pics ( photo library - synced from your old computer), your itunes content ( music, apps, videos,etc) , your contacts and your calendars.  So do NOT sync yet.  This is why a backup copy is so important.
Enter one unique contact and calendar entry on your computer.
When you first sync, you should get the option to merger the data.  Choose it.
If you want your pics, then you will need to e-mail them to yourself before you sync.  They will not be of the original quality as they are reduced when synced to iphone.
When all is as goos as it can be, then backup your computer, and always maintain the backup.

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