I have a question about using i and j in partitions and labeling. The textbook uses the definitions 1<=i, j<=n, but I am a bit confused as to why this is so since (if I'm not mistaken) i and j are in the same set?
For example, on page 16, {{pi, pj}: 1<=i, j<=99 and i=/=j}. My question is, why not {{pi,pj}: 1<=i<=99, 1<=j<=99 and i=/=j} (similar to how i is defined in set A)?
(Sorry for the confusing formatting/notation, I don't know how to do that here.)
If someone could explain to me, that would be great! Thanks in advance! |