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How many passwords can be created from 26 letters and 10 numbers that are 8 or 9 digits long?

That's 36 different symbols (if you don't distinguish uppercase and lowercase letters); for a password length of 8, that gives you a total of 368 different combinations, for a password length of 9, the total is 369 different combinations. If you do distinguish uppercase and lowercase, then you have 26 + 26 + 10 = 62 different symbols, so, for example, with 8 characters (password length of 8), you have 628 different combinations.


How are fractals created?

It really depends on the fractal, and there are many possible ways to define them. As an example, for the Mandelbrot set, a number of calculations involving complex numbers are done for each point in the complex plane, to determine whether a point is part of the set or not. However, other definitions are possible as well.


How many graphs are there in mathematics?

In mathematics, the number of possible graphs is infinite. A graph is a mathematical structure consisting of vertices (nodes) connected by edges (links). The number of graphs that can be formed is determined by the number of vertices and the possible connections between them, leading to an uncountable number of potential graphs in mathematics.


What were Ada Lovelace contributions to math?

Ada Lovelace;s contributions to math consisted of translating an article about the analytical machine created by charlie brown and writing her own notes predicting what it could do making 1893 computers possible


What is the importance of zero 0 in mathematics?

0 is neither positive or negitive. You cannot divide by 0. Its not infinity, like some believe, its simply not possible. 0 was created/discovered/invented many years after the rest of the number system. It is the 'additive identity' (university mathematics!)