given a standard 52 card deck, how many possible hands have 2 face cards and 1 distinct, order doesn't matter (I am looking for the possible hands, not possible ways to draw those hands.)

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given a standard 52 card deck, how many possible hands have 2 face cards and 1 distinct, order doesn't matter (I am looking for the possible hands, not possible ways to draw those hands.)

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There are 12 face cards in a 52 card deck.

The number of ways to choose 2 face cards from these 12 face cards in the deck is = open parentheses table row 12 row 2 end table close parentheses equals fraction numerator 12 factorial over denominator 2 factorial end fraction equals fraction numerator 12 cross times 11 over denominator 2 end fraction equals 6 cross times 11 equals 66

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