How many combinations can be generated with this set?

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I have a certain set that has 4 values of set in total and I am trying to get the total number of combinations that are possible with this set. The set is: ({1-5},{1-5},{A-Z},{0-999})

So an example of the set would be: (2, 4, P, 121)

Now the set follows the order as given, but the each value is randomly assigned such that another example would be (3, 1, Z, 345)

The way I am calculating this is by using factorial such as: (5 * 5 * 26 * 1000) * 4!

So is this the right way to calculate?