1. First, let’s remove the vowels (A, E, I, O, U) from the given sequence:
\[
\text{N F C R R M N T S M C T N R T C T N T}
\]
2. Now, the modified sequence without vowels is:
\[
\text{N F C R R M N T S M C T N R T C T N T}
\]
3. Next, we need to determine the 8th letter to the right of the 5th letter to the left of the 10th letter from the right. Let’s break it down:
- The 10th letter from the right is "C" (counting from the right).
- The 5th letter to the left of "C" is "N" (counting 5 letters to the left of C: T, N, C, M, R).
- The 8th letter to the right of "N" is "R" (counting 8 letters to the right of N: T, N, C, M, R, T, C, R).
Thus, the 8th letter to the right of the 5th letter to the left of the 10th letter from the right is \(\boxed{R}\).