RE: Math mini-contest problem for Day 6 on D.Buzz for March 2021 😎

Answer for Day 6 Math Problem

804 ways 🎯

For simplicity in explaining this solution, we assume that Turner and Vision are seated one after the other (in this case, Turner then Vision).

There are 32 ways Turner can be seated.

If Turner is seated at a corner, Vision has 28 seats left. There are 4 corner seats.
If Turner is seated on any edge excluding corners, Vision has 26 seats left. There are 16 edge seats excluding corners.
If Turner is seated somewhere not on any corner or edge, Vision has 23 seats left. There are 12 non-edge, non-corner seats.

With the information above, we can get the following:

There are 112 arrangements where Turner is seated at a corner.
There are 416 arrangements where Turner is seated somewhere on an edge except for corners.
There are 276 arrangements where Turner is seated somewhere not on a corner or edge.

There are 112 + 416 + 276 = 804 ways Turner and Vision can sit without being adjacent with each other.

1 HIVE has been sent to @minus-pi's Hive account. 💰

@jfang003's answer was almost correct had he not divided by two! @minus-pi noticed the minor mistake that Turner and Vision are different people, which means that there are two ways to Turner and Vision can be seated if there are only two seats.