WOWGREAT

intothecontinuum:

This picture illustrates that there are 512 different ways to color a 3x3 grid using only two colors.

In general, to do this for a MxM grid with M²=N blocks, there are 2^N different ways.

This is also equivalent to the following:

• 2^N is the sum of all the numbers in the Nth row of Pascal’s triangle.
• For a set S with N elements, 2^N is the size of the power set of S, which is how many unique subsets there are of S.
• 2^N is the number of ways of choosing 0 things from N things, plus the number of ways of choosing 1 thing from N things, plus the number of ways from choosing 2 things from N things, etc… , plus the number of ways of choosing N things from N.
•  2^N is the number of different sequences of outcomes from flipping a coin N times.
•  2^N is the number of basis states needed to completely express the state of a quantum computer with N qubits (cf. here).

Can you think of anymore?


(via wowgreat)