If a cup has both milk and tea, then you add sugar. The cup has no...

If a cup has both milk and tea, then you add sugar. The cup has no coffee. Either a cup has tea or coffee only if you add sugar. Therefore, a cup has tea is necessary for a cup to have milk. (M, T, S, C) (a) Use the key provided to symbolize the argument in sentential logic. (8 marks) (b) Use a full truth table to determine the validity of the argument. Give a counter example if the argument is invalid. (12 marks)