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).
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]
That was correct, thank you! :D Have a great day!