Why the 5th Avenue co-op board rejected Sheik Hamad bin Jassim bin Jaber Al Thani, prime minister of Qatar.

Despite his $31.5 million bid:

A big part of the sheik’s problem was his 15 kids, not to mention his two wives and boatload of staffers who accompanied him everywhere, sources said.

There wasn’t “a chance in hell’’ of his offer being accepted, the source added.

The sudden influx of potential foreign residents — young and old — to the storied address would have been in stark contrast to the previous tenant. 

The previous tenants were the doll collection of Huguette Clark, who lived in a hospital for the last 20 years of her life.

Board members were also concerned because, as a foreign head of state, the 52-year-old sheik couldn’t be held accountable for anything that might happen there, they said.

“He had diplomatic immunity,’’ one source noted.