evaluate
\[
\frac{3 ! 5 !}{6 ! 4 !}
\]
simplify your answer as much as possiable
Final Answer: The simplified form of the given expression is \(\boxed{\frac{1}{24}}\)
Step 1 :Given the expression \(\frac{3 ! 5 !}{6 ! 4 !}\)
Step 2 :We can use the property of factorial function that n! = n*(n-1)!. Also, the factorial function is defined for non-negative integers only.
Step 3 :Calculating the numerator, we get 720
Step 4 :Calculating the denominator, we get 17280
Step 5 :The result of the division is 0.041666666666666664
Step 6 :However, the question asks to simplify the answer as much as possible. This suggests that the answer should be a fraction. We can convert the decimal to a fraction.
Step 7 :The fraction form of the result is \(\frac{1}{24}\)
Step 8 :Final Answer: The simplified form of the given expression is \(\boxed{\frac{1}{24}}\)