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How many different ways can you place four white kings and four black kings on a 5x5 grid such that every king attacks exactly two kings of it's own ...

How many different ways can you place kings on a 3x3 grid such that each king attacks exactly two other kings?

Note: A king is a chess piece that can ...

John plays a game with Bobart where each person takes turns saying either parrot or goose. At the beginning of the game John picks randomly between four possible strategies:

Consider the following base 4 number:

\[{ABCDCBDA}\]

where each letter represents a different digit between 0 and 3 inclusive.

Assuming A doesn't represent a zero, is the above number ...

A great king looks at the population of his kingdom and decides there are far too many boys.

Therefore, he issues the following decree:

"If a couple gives birth to ...

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