# Housing crisis in heaven

Heaven has a countably infinite number of cloud for people to stay, each of which has a good soul living on it.

A countably infinite number of infinite universes are extinguished by God (their beta period had expired). So, a countably infinite number of groups of good souls (each of which are countably infinite in size) were knocking on the doors of heaven. Each person, in each group was carrying a little ticket, from $\ge 1$ (which one receives before passing the pearly gates).

How will God and his dear mother accomodate all these people on a cloud of their own without creating any new clouds?

• From reading the answer I think that the ticket each person gets is the one from their original heaven, is that right? So there will be multiple people holding the 1 ticket? The way I first read it I was rather confused because I thought that each of the new people got a ticket as they arrived in this heaven number from 1 which meant each of the new people had a unique number which makes the problem rather easy (to the extent my first thought on reading the question was "Why will god have any problem accommodating these people?") – Chris Jul 11 '17 at 16:13

new cloud number = (1/2)*(A+B)*(A+B+1)+B