2018 AMC 10A Problem 11

When 7 fair standard 6-sided dice are thrown, the probability that the sum of the numbers on the top faces is 10 can be written as \frac{n}{6^{7}}, where n is a positive integer. What is n?

\textbf{(A) }42\qquad \textbf{(B) }49\qquad \textbf{(C) }56\qquad \textbf{(D) }63\qquad \textbf{(E) }84\qquad

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.