GAUSS8 2024 Problem 21

The prime factorization of 6 \times 5 \times 4 \times 3 \times 2 \times 1 can be written in the form 2^a \times 3^b \times 5^c. The value of a+b+c is

Answer Choices
A. 6
B. 7
C. 9
D. 5
E. 8