How Many Permutations Does a Combination Lock Have If Each $19,477,920$

Multiple Choice

How many permutations does a combination lock have if each combination has 5 numbers, no two numbers of the combination are the same, and the lock dial has 35 notches?

A) $19,477,920$
B) $116,867,520$
C) $38,955,840$
D) $77,911,680$
E) none of the above