5 sets of 5 options, how many possible combinations? Apologies in advance if this was already answered somewhere, I tried searching but didn't really know what to search for which is the same issue I'm having with Google. I really appreciate your help with this!!

I need to figure out how many combinations are possible of the following sets. I think that I just multiply everything together can anyone confirm that for me? 

Example 1: 5 sets of 5 options. So there's (a1, a2, a3, a4, and a5) in one set, (b1, b2, b3, b4, and b5) in the next and there's c, d, and e all with 5 in the set. To figure out all the possible combinations would that just be 5*5*5*5*5= 3125?

Do I have that right?
If you need exactly one element of each set, and in the specific order of
$\\$
a -> b -> c -> d -> e, $\\$
then yes.
If not, it depends on how you pick the elements to make the new randomized set.
If you need exactly one element of each set, and in the specific order of
$\\$
a -> b -> c -> d -> e, $\\$
then yes.
If not, it depends on how you pick the elements to make the new randomized set.