Question: A poor man is sitting in a pub. He sees that the man next to him is extremely rich.
Poor man: I have an amazing talent; I know almost every song that has ever existed.
The rich man laughs.
Poor man: I am willing to bet you all the money you have in your wallet that I can sing a popular song that includes a lady's name of your choosing.
The rich man laughs again.
Rich man: OK, how about my daughter's name, Joanna Armstrong-Miller?
The poor man goes home rich.
What song did he sing?
Answer: "Happy Birthday." This song can be sang with anybody's name in it.
Question: You have an 8 by 8 chess board that has two corner squares diagonal from each other removed. Is there any way to place 31 dominoes of size 2x1 to cover the remaining 62 spaces?
Answer: No. When you remove the two diagonal spaces from the chess board they are both black or both white, making it so that there are two more of the other color. Each domino would cover 1 black and 1 white space. So 31 of them would have to cover 31 white spaces and 31 black spaces but with the corners removed there are 30 of one color and 32 of the other.
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