Here's a definitive guide for P7510 owners on how to install stock ICS on their tabs with root. How do I know it's definitive? Well, I'm running it right now with no problems!
NOTE: Obviously I shouln't have to say this but... WiFi only guys
may run into a bug of some sort if trying to apply this. I haven't had any prblems yet. Everything works: WiFi, GPS, Camera, Auto-brightness, G-Sensor etc. If something wrong happens, then it's not my fault!
That said there are a few
things going on because of running a P7500 ROM on a P7510. Like there is a signal indicator in the status bar showing no signal. There are mobile data options in the settings menu. The device is recognised as a P7510, i think you get the point.
Now to the actual instructions.
Step 1: Putting ICS on
- Create a Nandroid backup!
- Download & install
Mobile Odin by Chainfire. [Redistrubution is not allowed so I've linked to his thread] <- Read that properly before you go onto the next step so it's istalled properly!
- Download the firmware and unzip
- Move the file P7500XXLQ8_P7500OXALQ8_P7500XXLQ8_HOME.tar.md5 to the root of your Tab.
- Open Mobile Odin
- Select the .md5 firmware you just put onto your Tab
- *IMPORTANT FOR WIFI TABS* Select Modem and press Clear
(there's no need to select the option of auto root or odin insall 'cos it wont work!

)
- Select the 2 wipe options
- Plug your tab into the power supply
- Press the fflash firmware button
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LET IT DO IT'S OWN THING. LEAVE IT AND WAIT FOR IT TO RESTART TO THE SETUP SCREEN
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Done now your running ICS, but wait - you don't have root! or CWM recovery for that matter!

Don't worry, keep reading!
CWM Recovery and Rooting:
- Download this
update.zip for rooting your tab and move it to the root of your tab
- Put your tab into download mode
- Plug it into the computer
- Let the computer install the drivers (Automatic on Win 7 - unsure about other OS's)
- Download and unzip
Odin 1.85
- Download
CWM Touch Recovery & save to same folder as Odin 1.85
- Open up odin
- Click PDA and select the file named recovery.tar.md5
- Click start
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LET ODIN DO IT'S THING & WAIT FOR TAB TO RESTART
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- Put the tab into recovery mode.
- Select install from sd card and select
Samsung_Galaxy_Tab_10.1_root.zip
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LET RECOVERY DO IT'S THING
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- Tap go back and then reboot now
There you have it stock ICS for P7500 & P7510 rooted.