Question 282431
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Since the two prizes to be awarded are the same value, the order of selection does not matter.  Hence, you need the number of ways to select 2 things from 7 things.


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)!}]


Just substitute and do the arithmetic.


<b><i>Super Deluxe Double Plus Extra Credit</i></b>:  What is the difference in your answer if, instead of two $10,000 prizes, the committee was awarding a $13,000 prize and a $7,000 prize?


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