If P, Q and R are subsets of a set A, then $\mathrm{R}\times {({\mathrm{P}}^{\mathrm{c}}\cup {\mathrm{Q}}^{\mathrm{c}})}^{\mathrm{c}} =$

• A

  $\left(\mathrm{R}\times \mathrm{P}\right)\cap \left(\mathrm{R}\times \mathrm{Q}\right)$

• B

  $\left(\mathrm{R}\times \mathrm{Q}\right)\cap \left(\mathrm{R}\times \mathrm{P}\right)$

• C

  $\left(\mathrm{R}\times \mathrm{P}\right)\cup \left(\mathrm{R}\times \mathrm{Q}\right)$

• D

  None of these