Question 261868
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You need the number of ways to select 5 things from 52 things.  The number of ways to select *[tex \Large r] things from *[tex \Large n] things is given by:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \left(n\cr r\right)\ =\ \frac{n!}{r!\left(n\,-\,r\right)!}]


For this problem you want:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \left(52\cr 5\right)\ =\ \frac{52!}{5!\left(52\,-\,5\right)!}\ =\ \frac{52\,\cdot\,51\,\cdot\,50\,\cdot\,49\,\cdot\,48}{120}\ =\ 13\,\cdot\,17\,\cdot\,10\,\cdot\,49\,\cdot\,24]


Looks like you have a bit of calculator work to do.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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