For positive integers $a , b$ and $c$ $$8! - 6 \cdot ( 6! ) = 2 ^ { a } \cdot 3 ^ { b } \cdot 5 ^ { c }$$ Given that, what is the sum $\mathrm { a } + \mathrm { b } + \mathrm { c }$? A) 7 B) 8 C) 9 D) 10 E) 11
For positive integers $a , b$ and $c$
$$8! - 6 \cdot ( 6! ) = 2 ^ { a } \cdot 3 ^ { b } \cdot 5 ^ { c }$$
Given that, what is the sum $\mathrm { a } + \mathrm { b } + \mathrm { c }$?\\
A) 7\\
B) 8\\
C) 9\\
D) 10\\
E) 11