Question 282432
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The number of ways to select *[tex \Large k] things from *[tex \Large n] things where order doesn't matter is:


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


Part (a):  Calculate *[tex \Large \left(15\cr \,5\right)\]


Part (b):  Calculate *[tex \Large \left(7\cr 5\right)\]


Part (c):  Calculate *[tex \Large \left(7\cr 2\right)\ +\ \left(6\cr 2\right)\ +\ \left(2\cr 1\right)]


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