Albert and Alex are Brenda's good friends. They just found out that her favorite color is red and thought a bouquet of red roses would be a great birthday present for her. However, the problem is that they do not know her birthday. Brenda gives them 14 possible dates:
July 12, July 17
August 8, August 9, August 10, August 19
September 8, September 16, September 17
October 10 , October 16, October 22
November 17, November 19
Brenda then tells Albert the month and Alex the date, separately.
Albert - ''I do not know Brenda's birthday but I can say for sure that Alex does not know too.''
Alex - ''Before you said that I did not know but now I know already.''
Albert - ''Then now I also know.''
When is Brenda's birthday? Your answer should be the product of the month and date.