The expression $n$ ! means the product of the positive integers from 1 to $n$. For example, $5 !=1 \times 2 \times 3 \times 4 \times 5$. The value of $6 !-4$ ! is
(A) 2
(B) 18
(C) 30
(D) 716
(E) 696
The expression $n$ ! means the product of the positive integers from 1 to $n$. For example, $5 !=1 \times 2 \times 3 \times 4 \times 5$. The value of $6 !-4$ ! is
(A) 2
(B) 18
(C) 30
(D) 716
(E) 696

## Solution

According to the given definition, $6 !=6 \times 5 \times 4 \times 3 \times 2 \times 1=720$.

Similarly, $4 !=24$. As a result, $6 !-4 !=720-24=696$.

ANSWER: (E)