I like ____ basketball,and I ofen like______basketball after

I like ____ basketball,and I ofen like______basketball after class.
A.to play,to play
B.playing,playing
C.to playing,playing
D.playing,to play
顺便求教为什么

D
like doing 指长期的习惯性的喜欢
like to do 指短期的喜欢
这样比较直观
I like playing basketball after class and these days ,I like to play the piano .