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Let n and k be positive integers such that n < 10^6 and \[\binom{13}{13} + \binom{14}{13} + \binom{15}{13} + \dots + \binom{52}{13} + \binom{53}{13} + \binom{54}{13} = \binom{n}{k}.\]
Enter the ordered pair (n, k). 

 Mar 19, 2020
 #1
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a=10; b=5;c=a nCr b; if(c==4353548972850, goto4, goto5);printc, a, b; a++;if(a<100, goto2, 0);a=10;b++;if(b<100, goto2, discard=0;

 

[n, k =55, 14] and [n, k =55, 41]

 Mar 19, 2020
 #2
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That was correct, thank you! :D Have a great day!

Guest Mar 19, 2020

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