c$)$ The Boolean Equation $Y=A^{\text{'}}BC+A^{\text{'}}B{C}^{\text{'}}+A{B}^{\text{'}}{C}^{\text{'}}+A{B}^{\text{'}}C+$ABB is to be implemented using only two input NOR gates. What is the minimum number of NOR gates required? Justify your answer. Marks will not be awarded for answer without justification.