Question 3 of 16 , Step 1 of 1
\[
2 / 16
\]
Correct
Evaluate the factorial expression.
\[
\frac{18 !}{15 !(4-2) !}
\]
Answer
How to enter your answer (opens in new window)
Answer
The value of the expression \(\frac{18 !}{15 !(4-2) !}\) is \(\boxed{2448}\).
Step 1 ：Rewrite the factorial expression \(\frac{18 !}{15 !(4-2) !}\) as \(\frac{18*17*16}{2*1}\) by cancelling out the common terms in the numerator and the denominator. This is possible because 15! is a common term in both the numerator and the denominator and (4-2)! is equal to 2!.
Step 2 ：Calculate the value of the numerator, which is \(18*17*16 = 4896\).
Step 3 ：Calculate the value of the denominator, which is \(2*1 = 2\).
Step 4 ：Divide the numerator by the denominator to get the final answer, \(4896 / 2 = 2448.0\).
Step 5 ：The value of the expression \(\frac{18 !}{15 !(4-2) !}\) is \(\boxed{2448}\).
