Partitioning Poker Cards
Probability
Level
3
A deck has 32 cards divided into 4 types, each type has 8 cards. How many ways can we choose 6 cards so that all four types of cards are among them?
The answer is 415744.
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1 solution
Only 2 cases are possible 3,1,1,1 and 2,2,1,1. For 1st cases ways are 4C1×8C3×(8)^3 and for 2nd 4C2×(8C2)^2×(8)^2.