Find the number of possible 5-card hands if we need 3 face cards (kings, queens or jacks), and 2 other cards (none of which are face cards) all 5 of the same suit

Question

agent0smith · Answer

Just do it for one suit, then multiply by four to get the number for all suits

There's a jack, queen and king of each suit, so three face cards, you need all three. There's 13-3 = 10 other cards of the same suit which aren't face cards, which you need two of. Multiply by four because there's four suits.

$$\large 4 \times (3 C 3 * 10 C 2 )$$

anonymous · Answer

Thank you

mathslover · Answer

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