Given the Boolean function: $F(A,B,C)={\displaystyle \underset{?}{\overset{?}{}}}(1,2,3,5,6)$

a$).$Produce the product of sum$($POS$)$ form.

b$).$Draw the corresponding diagram.

c$).$Show that the sum of product $($SOP$)$ and the product of sums $($POS$)$ represent the same function.