Boolean function $\text{F}$ of three variable $\text{X, Y,}$ and $\text{Z}$ is given as
$F\left ( X, Y, Z \right )=\left ( {X}' + Y + Z \right )\cdot \left ( X + {Y}' + {Z}'\right )\cdot \left ( {X}' + Y + {Z}' \right )\cdot \left ( {X}' {Y}' {Z}' + {X}' Y {Z}' + X Y {Z}'\right )$
Which one of the following is true?
- $F\left ( X, Y, Z \right )=\left ( X + Y + {Z}' \right )\cdot \left ( {X}' + {Y}' + {Z}'\right )$
- $F\left ( X, Y, Z \right )=\left ( {X}' + Y\right )\cdot \left ( X + {Y}' + {Z}'\right )$
- $F\left ( X, Y, Z \right )={X}' {Z}' + Y {Z}'$
- $F\left ( X, Y, Z \right )={X}' {Y}' Z + XYZ$