Probability question

[slickterp]

I am admittedly bad at probabilities, stats, etc.

Here is the question:

In a 12 team fantasy football league, where the draft order is determined at random each season, what are the chances that 5 of 12 teams are picking in exactly the same slots as last season? What would be the expected number of places up or down in the draft order for a team to move given random drawings (can one even determine this)?

Ballpark is fine, but even w/ my limited skill, it seems odd just looking at it.