She likes him play basketball这句话对不对?

第一句可以是She likes him playing basketball.
like sb doing sth.喜欢某人正在做某事.
也可以是She likes him to play basketball.
like sb to do sth.喜欢某人做某事.
第二句是正确的,但是口语中通常不会用此句型.
第三句是正确的.