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Exercise of the Day:

Simplify $\left [ \left ( a + b \right )^{-1} + \left ( a + c \right )^{-1} + \left ( b + c \right )^{-1} \right ]^{-1}$.
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Problem of the Day:

The digits $123456789$ can be arranged to form $362,880$ distinct $9$-digit numbers. How many of these are prime?
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Thought of the Day:

Over the years I have often been asked by my students, “Sir, why did you decide to go into music?”
 
My stock answer has been: “When I figured out all I needed to know were 7 letters of the alphabet, and we count to 4 and everybody starts, I thought I could make a career out of that.”
 
And so I did. — Ennio Paola
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