# Math Help - microstates

1. ## microstates

when you flip a coin 50 times, the total number of microstates is 250. How can you show this by using the binomial theoreom. Thank you!

2. ## Re: microstates

Originally Posted by apatite
when you flip a coin 50 times, the total number of microstates is 250. How can you show this by using the binomial theoreom.
${2^{50}} = {\left( {1 + 1} \right)^{50}} = \sum\limits_{k = 0}^{50} {\left( {\begin{array}{*{20}{c}} {50} \\ k \end{array}} \right)}$