Honouring a Great Teacher
Friedrich Engels was born on November 28, 1820. In his honour, let's think about how often the number 1820 appears in Pascal's triangle. How many of the statements below are true?
(A) 1820 never appears
(B) 1820 appears infinitely many times
(C) 1820 appears an even number of times
(D) 1820 appears at least 4 times
Bonus question: How many positive integers \(n>1\) appear at least six times in Pascal's triangle?