Consider the following statements:

p : It rains today
q : I go to school
r : I shall meet any friends
s : I shall go for a movie
Then which of the following propositions represents 'If it does not rain or if I do not go to school, then I shall meet my friend and go for a movie.'? 

• A

  $~(\mathrm{p}\wedge \mathrm{q})\to (\mathrm{r}\wedge \mathrm{s})$

• B

  $~(\mathrm{p}\wedge ~\mathrm{q})\to (\mathrm{r}\wedge \mathrm{s})$

• C

  $~(\mathrm{p}\wedge \mathrm{q})\to (\mathrm{r}\vee \mathrm{s})$

• D

  none of these