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)
See the answer here: https://web2.0calc.com/questions/let-n-and-k-be-positive-integers-such-that-and-what#r1
