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2 face cards and 3 non-face cards = (12C2)(40C3) = (66)(9880) =652,080

3 face cards and 2 non-face cards = (12C3)(40C2) = (220)(780)=171,600

4 face cards and 1 non-face cards = (12C4)(40C1) = (495)(40)=19,800

5 face cards = 12C5 =792

Adding: 844,272 hands

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Q: How many hands of 5 cards can be obtained if at least 2 of the cards are face cards and the rest are of any kind?
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