what is the value of 5!/4!?

Turn the factorial expressions into product series, cross out common factors in the numerator and denominator.

5x4x3x2/4x3x2 Some of that cancels, leaving you with..?

4x3x2 are common in both the numerator and denominator. Canceling those leaves just 5 in the numerator.

To find the value of 5!/4!, we first need to understand what these expressions mean.

The exclamation mark (!) denotes the factorial operation. The factorial of a non-negative integer n (represented as n!) is the product of all positive integers from 1 to n.

In this case, 5! means the factorial of 5, which is calculated as follows:

5! = 5 x 4 x 3 x 2 x 1 = 120

Similarly, 4! means the factorial of 4, which is calculated as:

4! = 4 x 3 x 2 x 1 = 24

Now, to find the value of 5!/4!, we can simply divide the factorial of 5 by the factorial of 4:

5!/4! = 120/24 = 5

Therefore, the value of 5!/4! is equal to 5.