Arduino Multi input module

please help me, is this possible to control LED from IR remote and also from Bluetooth mobile? please see my attached image for more

You need a resistor in series with the LED, otherwise you'll burn out the LED or the pin you're trying to drive it with.

Otherwise, that looks okay.

that one i will do but how to write in code… i have done from remote to LED control and mobile to LED control also and now i want both in one arduino

try putting the following in the "Search the Arduino Forum" search box:

combining sketches