Hi Sarvajit,
You're on the right track! What you have to subtract is the number of paths from (0,0) to (5,7) that pass through (4,3). To calculate this, all you have to do it multiply the number of paths from (0,0) to (4,3) by the number of paths from (4,3) to (5,7).
I think you can do the rest!
Tell me if you need any help!
:)