Verified answer

By law, the order of succession is VP - Speaker of the House - President pro ten of the Senate (usually the most senior member of the majority party, currently Orrin Hatch), and finally the Cabinet members in the order their job was created. Anyone in that list who is constitutionally ineligible would be skipped, such as Albright when she was Secretary of State.

The designated survivor is a Cabinet secretary and can be a different person each time. A survivor needs to be designated only when everyone else is in one place.

The VP, Joe Biden would be the first in line of succession, and there's a line of succession that goes all the way through the Cabinet.

But the designated survivor's identity changes depending on the occasion.

From wikipedia:

"The designated survivor (or designated successor) is an individual in the presidential line of succession, usually a member of the United States Cabinet, who is arranged to be at a physically distant, secure, and undisclosed location when the President and the country's other top leaders (e.g., Vice President and Cabinet members) are gathered at a single location, such as during State of the Union addresses and presidential inaugurations. This is intended to guarantee continuity of government in the event of a catastrophic occurrence that kills the President and many officials in the presidential line of succession. If such an event would occur, killing both the President and Vice President, the surviving official highest in the line, possibly the designated survivor, would become the Acting President of the United States under the Presidential Succession Act."

The latest known designees were Orrin Hatch and Jeh Johnson, for the State of the Union address in January 2016.

Vice President Joe Biden.

He doesn't appoint anyone. The vice-president is his successor. Next in line is the speaker of the house, followed by the senate leader, then the sec'ty of state. This is law, not by choice.

Chuck Norris

The president doesnt appoint anyone... the Constitution says Joe Biden becomes POTUS..

No one. It doesn't work that way.