Multiple choice

If the functions W, X, Y and Z are as follows: W = R + $\bar P Q + \bar RS$ X = PQ$\bar R \bar S + \bar P \bar Q \bar R \bar S + P \bar Q \bar R \bar S$ Y = RS + $\overline{PR + P \bar Q + \bar P \bar Q}$ Z = R + S + $\overline{PQ + \bar P \bar Q \bar R + P \bar Q \bar S}$ then

  1. W = Z, X = $\mathcal{Z}$

  2. W = Z, X = Y

  3. W = Y
  4. W = Y = $\mathcal{Z}$
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