Question 6 of 16 , Step 1 of 1
Correct
Evaluate the expression. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest thousandth, if necessary.
\[
\frac{{ }_{9} C_{6}}{{ }_{9} P_{6}}
\]
Answer
How to enter your answer copens in new window)
Answer
\(\boxed{0.00139}\) is the final answer, rounded to the nearest thousandth.
Step 1 ：First, we need to calculate the factorial of 6. The factorial of a number is the product of all positive integers less than or equal to that number. In this case, the factorial of 6 is 720.
Step 2 ：Next, we need to find the reciprocal of the factorial of 6. The reciprocal of a number is 1 divided by that number. So, the reciprocal of 720 is \( \frac{1}{720} \).
Step 3 ：Finally, we need to express the reciprocal as a decimal rounded to the nearest thousandth. The decimal equivalent of \( \frac{1}{720} \) is approximately 0.00139.
Step 4 ：\(\boxed{0.00139}\) is the final answer, rounded to the nearest thousandth.
