A function of 3 variables are given as follows:

f (x, y, z) = x̅ z + x z̅ + y̅ z

Which of the following statements are true regarding prime implicants (P.I) and essential prime implicants (E.P.I)?

1
The P.I are x̅ z, x z̅, y̅ z, x y̅, and E.P.I are y̅ z, x y̅.
2
The P.I are x̅ z, x y̅ only and E.P.I are x̅ z, x z̅.
3
The P.I are x̅ z, x z̅, y̅ z, x y̅, and E.P.I are x̅ z, x z̅.
4
The P.I are x̅ z, x z̅, y̅ z, x y̅, and E.P.I are y̅ z, x z̅.

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