A discrete mathematics problem by Anthony Pham

Kenny, Jack, and Sarah are playing a game of Old Maid using a standard deck of cards. In this game, the Old Maid is a random card that was removed. Kenny discarded a pair of A's, 2's, 4's, 7's, and Q's. Jack discarded 2 pairs of 5's and K's, and a pair of 8's and J's. Sarah discarded a pair of A's 6's, 9's, 10's, and Q's.

What is the face value of the Old Maid?

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