Question

Evaluate the expression Start Fraction 8 times 6 exclamation mark over 3 exclamation mark End Fraction.
(1 point)
Responses

120
120

16
16

960
960

240
240

Answer 1

To evaluate the expression \(\frac{8 \times 6!}{3!}\), we need to calculate the factorials.

First, let's compute \(6!\) (6 factorial):
\[
6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 720
\]

Next, we calculate \(3!\) (3 factorial):
\[
3! = 3 \times 2 \times 1 = 6
\]

Now, we can substitute these values back into the expression:
\[
\frac{8 \times 6!}{3!} = \frac{8 \times 720}{6}
\]

Now calculate the multiplication:
\[
8 \times 720 = 5760
\]

Next, divide by \(3!\):
\[
\frac{5760}{6} = 960
\]

Therefore, the value of the expression is \(960\).

The final answer is:
\[
\boxed{960}
\]