A function of Boolean variables $X, Y$ and $Z$ is expressed in terms of the min-terms as $$F(X, Y, Z) = \Sigma (1, 2, 5, 6, 7)$$
Which one of the product of sums given below is equal to the function $F(X, Y, Z)?$
- $(\overline{X} + \overline{Y} + \overline{Z} )\cdot(\overline{X} + Y + Z)\cdot(X + \overline{Y} + \overline{Z} )$
- $(X + Y + Z)\cdot(X + \overline{Y} + \overline{Z} )\cdot(\overline{X} + Y + Z)$
- $(\overline{X} + \overline{Y} + Z)\cdot(\overline{X} + Y + \overline{Z} )\cdot(X + \overline{Y} + Z)\cdot(X + Y + \overline{Z} )\cdot(X + Y + Z)$
- $(X + Y + \overline{Z} )\cdot(\overline{X} + Y + Z)\cdot(\overline{X} + Y + \overline{Z} )\cdot(\overline{X} + \overline{Y} + Z)\cdot(\overline{X} + \overline{Y} + \overline{Z})$