The constant e has a significant role across mathematics from growth problems to compound interest and even eigenvalues problems.
e has many representations, some of the most well known are
some of many e representations |
Say a postman has n letters and every one of these letters is addressed to a different person. Assuming that our postman is a bit clumsy and he delivers the letters randomly, what are the chances for derangement? or in other words, what are the chances that no one will get a letter which is addressed to them?...
Conclusion
Starting off with an intuitive combinatorial problem that seems completely unrelated to e, we managed to give rise to one of the most significant constants in mathematics.
Source: Medium