what is the formula or expression that can be used to represent the selection of atmost r objects out of n identical objects?

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For selecting atleast r objects out of n-identical objects the expression is- n-r+1, with reference to that what can be the derived expression when objects are Atmost n? When we talk about atmost we consider the items below atmost too..for eg if atmost is 3 then we'll need to include 1 and 2 alongside 3 in our result