$ Y = ( A + \bar{B} + \bar{A} B) \bar{C} $
$ Y = (A + (\bar{B} + \bar{A}) . (\bar{B} + B) ) \bar{C} $
$ Y = (A + \bar{B} + \bar{A} ) \bar{C} $
$ Y = ( (A + \bar{A}) + \bar{B}) \bar{C} $
$ Y = (1 + \bar{B}) \bar{C} $
$ Y = \bar{C} $
Answer would be Option C) $\bar{C}$
We have $A + \bar B$. When both are false, we get $\bar A . B$ which is given as the third term of logical OR. So, this part always return TRUE.