+4 A bridge hand consists of 13 cards. How many bridge hands include 5 cards from one suit, 6 from the second, and 2 cards from the third? I did 13c5x13c6x13c2 and got 172 million something which isnt the right answer.
+2511 You seem to have the right idea; you just need to multiply each combination by the available number of suits. As each suit is selected, there is one less suit to consider.
\(\binom{13}{6} \cdot (4) \cdot \binom{13}{5} \cdot (3)\ \cdot \binom{13}{2} \cdot (2) \\\\ \text { } \\ = 4,134,297,024 \text { Combinations}\)
GA
