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

1 answer

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: \[ \boxed{960} \]