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-3 votes
1 answer
144 views

Count arrangements with pairs of attacking kings [closed]

I have a $1\times n$ chessboard and $2$ pairs of kings in it. Both components of each pair of kings must be adjacent in the chessboard, that is, they must be attacking. Now, I want to calculate the ...
Cardstdani's user avatar
-3 votes
1 answer
117 views

Combinatorial meaning of a reduced fraction in a simple probability problem?

A routine exercise for undergraduates says: Given that the number of successes in $20$ independent Bernoulli trials was $8,$ what is the conditional probability that exactly $3$ of those $8$ successes ...
Michael Hardy's user avatar

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