degree program vs programme

degree program and programme both are nouns.

Word	Noun	Adjective	Verb	Adverb
degree program	Yes	No	No	No
programme	Yes	No	Yes	No

As nouns, programme is a hypernym of degree program; that is, programme is a word with a broader meaning than degree program:

Other hypernyms of degree program include course of study, curriculum, program, syllabus.

degree program (noun)	programme (noun)
a course of study leading to an academic degree	a performance (or series of performances) at a public presentation
	a series of steps to be carried out or goals to be accomplished
	a system of projects or services intended to meet a public need
	an announcement of the events that will occur as part of a theatrical or sporting event
	a radio or television show
	(computer science) a sequence of instructions that a computer can interpret and execute
	an integrated course of academic studies

degree program (verb)	programme (verb)
	arrange a program of or for
	write a computer program