Simplified expression of $${\text{Y}} = \left( {{\text{A}} + {\text{B}}} \right)\left( {{\text{A}} + \overline {\text{A}} \overline {\text{B}} } \right){\text{C}} + \overline {\text{A}} \left( {{\text{B}} + \overline {\text{C}} } \right) + \overline {\text{A}} {\text{B}} + {\text{ABC}}$$           is

A. $${\text{Y}} = {\text{C}}\left( {{\text{A + B}}} \right) + \overline {\text{A}} \left( {{\text{B}} + \overline {\text{C}} } \right)$$

B. $${\text{Y}} = {\text{C}}\left( {\overline {\text{A}} + \overline {\text{B}} } \right) + {\text{A}}\left( {\overline {\text{B}} + {\text{C}}} \right)$$

C. $${\text{Y}} = {\text{A}}\left( {{\text{B}} + {\text{C}}} \right) + {\text{B}}\left( {\overline {\text{A}} + \overline {\text{C}} } \right)$$

D. $${\text{Y}} = {\text{C}}\left( {\overline {\text{A}} + {\text{B}}} \right) + {\text{B}}\left( {{\text{A}} + \overline {\text{C}} } \right)$$

Answer: Option A