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$\text{P, Q, R and S}$ are to be uniquely coded using $\alpha$ and $\beta$. If $P$ is coded as $\alpha\alpha$ and $Q$ as $\alpha\beta,$ then $R$ and $S$, respectively, can be coded as ___________.

  1. $\beta\alpha$ and $\alpha\beta$
  2. $\beta\beta$ and $\alpha\alpha$
  3. $\alpha\beta$ and $\beta\beta$
  4. $\beta\alpha$ and $\beta\beta$
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