Hugh, we are not asking for probability, but rather a # of combinations.....
Well, I feel better since somebody else got 288
I see 4 different kings that can come up in the first place, then 3 kings remain, then 2 kings. I thought by doing it this way it would account for the order of the cards?.....
Ah.... BUT, what if the queens were drawn first?... Is that the catch?
Or what if it went queen-king-queen-king-king?.... I get it now.
there are 288 ways for each configuration, and there are...... 10? ways to arrange it, so 2880 configurations?
Let 1 = queen, 0 = king, here are the ways I come up with.
11000
10100
10010
10001
01100
01010
01001
00110
00101
00011
Did I miss any?