evaluate \[ \frac{3 ! 5 !}{6 ! 4 !} \] simplify your answer as much as possiable

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 \(\boxed{\frac{1}{24}}\)