2021 April MIMC 10 Problems/Problem 17
Revision as of 16:36, 22 April 2021 by Cellsecret (talk | contribs) (Created page with "The following expression <cmath>\sum_{k=1}^{60} {60 \choose k}+\sum_{k=1}^{59} {59 \choose k}+\sum_{k=1}^{58} {58 \choose k}+\sum_{k=1}^{57} {57 \choose k}+\sum_{k=1}^{56} {56...")
The following expression ![\[\sum_{k=1}^{60} {60 \choose k}+\sum_{k=1}^{59} {59 \choose k}+\sum_{k=1}^{58} {58 \choose k}+\sum_{k=1}^{57} {57 \choose k}+\sum_{k=1}^{56} {56 \choose k}+\sum_{k=1}^{55} {55 \choose k}+\sum_{k=1}^{54} {54 \choose k}+...+\sum_{k=1}^{3} {3 \choose k}-2^{10}\]](http://latex.artofproblemsolving.com/f/3/e/f3ec40504a0dd4366dbbd4b910eb14ab633ae037.png)
can be expressed as 
which both 
and 
are relatively prime positive integers. Find 
.
Solution
To be Released on April 26th.
