Query about Question 9 from "(I'm Overwhelmed) Arithmetic Progress Quiz #1" [6698]

https://www.gregmat.com/quizzes/quiz/im-overwhelmed-arithmetic-progress-quiz-1 (Question 9)


if 6! == 5! * 6 then wouldn’t it be equal rather then 6! is bigger (option b)

Quantity A: 5 \cdot 5! = 5(120)

Quantity B: 6! = 6 \cdot 5! = 6(120)

Why would they be equal?

Well

6! = 6×5×4×3×2×1

5! × 6 = (5×4×3×2×1) 6

So 6!=720

5! = 120 and 120×6= 720

Quantity A is 5 \cdot 5! and not 6 \cdot 5!. That seems to be the issue here, right?