There exist positive integers n and k such that
32 * 6C6 + 31 * 7C6 + 30 * 8C6 + . . . + 3 * 35C6 + 2 * 36C6 + 37C6 = nCk Enter the ordered pair (n, k).
See full solution No. 6 here: https://web2.0calc.com/questions/help_68853