AMC 8 2018 Problem 21

How many positive three-digit integers have a remainder of 2 when divided by 6, a remainder of 5 when divided by 9, and a remainder of 7 when divided by 11? $\textbf{(A) }1 \textbf{(B) }2 \textbf{(C) }3 \textbf{(D) }4 \textbf{(E) }5$