Raymond B. answered 03/26/23
Math, microeconomics or criminal justice
12C12 + 12C11 + 12C10 + 12C9 + ... 12Cn ..+ 12C3 + 12C2 + 12C1
= 1 + 12 + 66 + 220 + 495 + 792 + 792 + 495 +220 + 66 + 12 + 1
= 3172
unless order matters
then
12P12 + 12P11 + ... + 12Pn + ... 12P2 + 12P1
= 1 + ...