I'm not sure where I assume or even suggest that there are only two options.
Which are the only two options I've assumed?
I re-read my input, fearing that I'd made this assumption and preparing to type an apology.
I just can't find it....
The words first, second (no mention of third, fourth or other group) were the first reason I assumed you were referring tho two groups.
The second was the use of the word "both" which in normal usage again refers to two