Evaluate the expression.

Question

StartFraction 9 factorial Over 3 factorial EndFraction

3
6
60,480
362,874

Answer 1

To evaluate the expression \( \frac{9!}{3!} \), we first need to calculate the factorials.

1. \( 9! = 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 362880 \)
2. \( 3! = 3 \times 2 \times 1 = 6 \)

Now we can substitute these values back into the expression:

\[ \frac{9!}{3!} = \frac{362880}{6} = 60480 \]

Thus, the value of the expression is \( 60480 \). Therefore, the answer is:

60,480