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Sep 9, 2023 at 4:25 comment added ensbana By the same logic, I guess the number of hands with exactly 3 suits would be ${4 \choose 3}{39 \choose 13} - 2({4 \choose 2}{26 \choose 13} - 4 \cdot 3) - 4 \cdot 3$?
Oct 7, 2018 at 17:46 vote accept elcharlosmaster
Oct 7, 2018 at 17:42 comment added Zubin Mukerjee Good point, thanks
Oct 7, 2018 at 17:41 comment added TonyK +1 for this. But slightly simpler is to say that for each choice of two suits, there are $\binom{26}{13}-2$ ways to choose the cards. This gives you the same answer.
Oct 7, 2018 at 17:39 history answered Zubin Mukerjee CC BY-SA 4.0