August 22nd, 2013, 7:27 pm
That clarifies it. "Assume any arbitrary relationship" is quite different than saying "we don't know the relationship".The relationship is arbitrarily chosen from the class of all possible relationships, but once chosen -- it is revealed tothe booking agent, right?. Then, for any such relationship (known to the booking agent), a certain minimum number of rooms are needed, andthe problem is to show that the maximum of these minimums (among the class of all possible relationships) is 7. That's how I would state it. Now, somebody solve it.
Last edited by
Alan on August 21st, 2013, 10:00 pm, edited 1 time in total.