[LAU] drum notation 3-beat vs 4-beat

[Grammostola Rosea]

Hi,

What I understand from music lessons is that the drummer in a band can 
play 3-beat (3 beats per quarter note rhythm) or 4-beat. 3-beat is 
common in (swing)blues (?) and 4-beat is more common in popular music 
(e.g. rock, pop).

I'm wondering what this means for the drum notation. How do you write it 
down when the drummer uses 3-beat in for example 'Can't Help Falling in 
Love' from Elvis Presley?

Thanks in advance,