2018 AMC 10A Problems/Problem 11

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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 $n$?

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