As SF. mentioned the exact math is very complex but here is my rule of thumb regarding intakes:
Less is more
Intakes produce more drag than an Aerodynamic Nose Cone. Only use just enough intakes to feed your engines. The higher tech intakes produce less drag than the lower tech ones.
To check if you have enough intakes on your plane, use the Kerbal approach of trial and error. As a starting point, if you take off horizontally from the runway, one intake should be enough to feed two engines.
Strap your plane down using a Launch Stability Enhancer and test the engines at zero air speed:
If all engines can be throttled up to full without starving, you have probably too many intakes.
If some engines starve immediately on throttle up, you do not have enough intakes.
If all engines throttle up to ~50% but then some start to starve you might be at the design sweet spot. Lets check again on take off!
The air fed into the engines also depends on the angle and speed of the airstream relative to the intake. So during your take off run, the airspeed increases as the engines start to spin up, and you might be fine with a configuration that starves at standstill.
Also look at the thrust produced by all engines near the edge of the flight envelope (highest altitude before flame out). All engines should produce the same amount of thrust and flame out at the same time. If one engine flames out while the others are still running, you need more intakes.
Adding more intakes than necessary will not allow you to flight higher before flameout!
If you take off vertically with a tail-sitter, use intakes that provide a high 'Effective Base Speed', e.g. the Engine Pre-cooler. You will probably need one axial or inline intake per engine. Or use a rocket engine to boost you off the ground, then pitch over to horizontal flight.
Do not use the radial intakes if possible, they perform poorly (and induce additional drag). The axial intakes can double as nose cones.
DART I Block 7
Here is a tail-sitter of my design that demonstrates these ideas (and clean aerodynamics / advanced tricks to reduce drag and increase lift). Notice how the flight profile starts with a slow climb to get the engines up to maximum thrust while the air is still thick.
https://steamcommunity.com/sharedfiles/filedetails/?id=2957110270