Where are all the Jacks?
Number Theory
Level
pending
In how many ways can the 12 face cards from a standard deck can be arranged such that all the Queens are before all the Kings?
6842880
3779136
5760000
8433216
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1 solution
The Queens can be arranged in 4! ways and the Kings in 4! ways. There would be 9 ways for the first Jack to locate himself. The second Jack would have 10 places. Subsequently 11 and 12. Therefore total ways = 4!x4!x9x10x11x12 = 6842880