Card Game "24"

24 is a card game where users draw 4 cards at a time from a regular deck of cards.

The cards are their value. Here, Jacks = 11, Queens = 12, and Kings = 13, Ace = 1

The objective of the game is to use only Parenthesis, Addition, subtraction, multiplication and division on the 4 numbers to make 24. Each digit is its own separate number, and you cannot introduce zeros or decimal places. All 4 numbers must be used.

For example $1, 3, 4, 6$ has a solution of $\frac{6}{1-\frac{3}{4}}$

Consider the following set. Which two do not have a solution?

A) $3, 3, 8, 8$

B) $2, 3, 5, Queen$

C) $2, 3, 9, Jack$

D) $5, 5, 5, Ace$

E) $3, 3, 7, 10$

Submit the product of the two letters that have no solutions where $A = 2, B = 3, C = 5, D = 7, E = 11.$