How to count a type "object" selected at runtime

I need to count a specific Object, but I'll know which object only at runtime. Right now I have something like

public class Details {
    private String typeOfObjectRequired;
    private int numberOfObjectRequired;
}

And in another class I have

public class Container {
    private List<Type1> type1List;
    private List<Type2> type2List;
    private Type3 type3Object;

    public int countType1() {
        return type1List.size();
    }

    public int countType2() {
        return type2List.size();
    }

    public int countType3() {
        return type3Object.getNumberOfSomething();
    }

}

Now I'm doing like this (in a third class that has both Details and Container as attributes)

public boolean hasNumberOfObjectRequired() {
    int count = 0;
    String type = details.getTypeOfObjectRequired();

    if(type == "type1") count = container.countType1();
    else if (type == "type2") count = container.countType2();
    else if (type == "type3") count = container.countType3();

    if (count > details.getNumberOfObJectRequired) return true;
    return false;
}

Is there a better way to do this? I don't like to have so many if, also because I have more than just 3 different types.