What does ... mean in math (probability)

Literally "..." what is its function. Does it work the same as ! or similarly?

How would it work in..

n ( n + 1 ) ... ( n + k - 1 )
divided by k!

Solve this step by step:

10 ( 10 + 1 ) ... ( 10 + 3 - 1 )
divided by 3!

The ellipsis (the ...) represents all the missing terms

So 10(10+1)....(10 +3 -1)
would mean
10 (10+1)(10+2)
If it were 10(10+1)....(10+5)
it would mean
10(10+1)(10+2)(10+3)(10+4)(10+5)

or..
(10 + (1-1))(10+(2-1))(10 + (3-1))(10+(4-1))(10+(5-1))(10 + (6-1))

The denominator would then be 6!

google it