Download Quirky Quotations: More Than 500 Fascinating, Quotable by Tad Tuleja PDF

By Tad Tuleja

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Example text

Since he likes both girls equally well, he simply takes the first train that comes along. In this way he lets chance determine whether he rides to the Bronx or to Brooklyn. The young man reaches the subway platform at a random moment each Saturday afternoon. Brooklyn and Bronx trains arrive at the station equally often-every 10 minutes. Yet for some obscure reason he finds himself spending most of his time with the girl in Brooklyn: in fact on the average he goes there 9 times out of 10. Can you think of a good reason why the odds so heavily favor Brooklyn?

All possible pairs are connected by a broken line that stands for either mutual love or mutual hate. Let blue lines symbolize love and red lines symbolize hate. Consider dot A. Of the five lines radiating from it, at least three must be of the same color. The argument is the same regardless of which color or which three lines we pick, so let us assume three lines are red [shown solid black in the illustration]. If the lines forming triangle BCE are all blue, then we have a set of three people who mutually love one another.

Consider dot A. Of the five lines radiating from it, at least three must be of the same color. The argument is the same regardless of which color or which three lines we pick, so let us assume three lines are red [shown solid black in the illustration]. If the lines forming triangle BCE are all blue, then we have a set of three people who mutually love one another. We are told no such set exists; therefore at least one side of this triangle must be red. , three people who mutually hate one another), The same result is obtained if we choose to make the first three lines blue instead of red.

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