result vs fall out

result is a noun but fall out is not a noun.

Word	Noun	Adjective	Verb	Adverb
result	Yes	No	Yes	No
fall out	No	No	Yes	No

As verbs, fall out is a hypernym of result; that is, fall out is a word with a broader meaning than result:

Other hypernyms of result include come about, go on, hap, happen, occur, pass, pass off, take place.

As verbs, fall out is a hyponym of result; that is, fall out is a word with a more specific, narrower meaning than result:

Other hyponyms of result include come, be due, flow from, follow, come after, follow.

result (noun)	fall out (noun)
a statement that solves a problem or explains how to solve the problem
the semantic role of the noun phrase whose referent exists only by virtue of the activity denoted by the verb in the clause
something that results
a phenomenon that follows and is caused by some previous phenomenon

result (verb)	fall out (verb)
come about or follow as a consequence	come to pass
issue or terminate (in a specified way, state, etc.); end	have a breach in relations
produce as a result or residue	drop out
	leave (a barracks) in order to take a place in a military formation, or leave a military formation
	come as a logical consequence; follow logically