[narf poit chez BOOM]

Er...No. All you've done is introduced an infinite 'ripple' as people move from room to room. You havn't made more room; you've simply...

...Look, this should explain it. Infinity is not a number. It can, however, be a ratio.

Suppose you have a thirty foot fence and an apple every six inches.

You therefore have 15 epples, thirty feet of fence and 1 apple per 6 inches of fence. 1/6.

Supposing then that an infinite being, for no particular reason, makes the fence inifinitly long and makes sure there's an apple every six inches.

You then have an infinite amount of apples, an infinite amount of fence and a ratio of 1/6 of apples and inches of fence.

Supposing, then, that the infinite being doubled the number of apples, again spacing them evenly. You then have 2/6 or 1/3 of apples and inches.

The ratio of rooms to people is 1/1.

Add in another infinity of people and the ratio of rooms to people is 1/2.

However, as there will *always be more rooms opening up, you've disguised that. However, that 'ripple' is going to go on to infinity - And there will always be one displaced person.

* Unless all this is done in no time at all.