Itís the end of the semester, and the study group decides to attend the transfer dance after being informed that Britta was nominated for transfer queen. At the dance tensions begin to rise. Annie tells the study-group that she has decided to follow her boyfriend, Vaughn, to the East Coast for the summer, but privately confides in Jeff she doesnít plan on returning to Greendale. Meanwhile, Jeff finds that while his getting quite close to Britta, Slater have decided that she is willing to give their old relationship a new shot. And soon his [[BettyAndVeronica two love interests]] are competing over his affection, through increasingly venomous PassiveAggressiveKombat.

Chang meets with Duncan, hoping that Duncan will help cheating his way through college, since he is his friend. Duncan merely laughs in Chang's face and mocks him for being a phony, telling him they were never friends. Humiliated and angry, Chang threatens violence, but Duncan smugly reminds him that punching a professor will get him expelled. Through gritted teeth, Chang promises that he will find some sort of of loophole, and when that happens, he will kill Duncan.

Troy is being kicked out of his house and in increasingly unsubtle fashion hints he wants to be Abedís roommate, a situation Abed appears uninterested in. After Pierce offers Troy to have a room in his mansion, confronts Abed about his reluctance, and Abed explains that while he indeed sees Troy as his best friend, he fears that them living together will lead to their personalities eventually clashing and ultimately cause their friendship to "{{jump the shark}}." Troy doesn't understand Abed's metaphor until he finally gets an epiphany after eating too much of a giant cookie and getting a tummy ache, realizing that [[AnAesop too much of a good thing can be a bad thing]] and the cookie represents his friendship with Abed. He decides to take Pierce up his offer.

At the transfer dance, Slater and Britta's fight over Jeff intensifies, and while Duncan is openly jealous that Jeff has two women chasing after him, and tries very unsuccessfully to unsubtly flirt with Slater, Jeff feels the pressure getting to him. Things get to a head, when both women publicly confess their love for him, and the dance guests organize themselves in "Team Britta" and "Team Slater", demanding that Jeff makes a decision. Jeff, unsure how to respond, tries to spin the situation to buy some time, but he is interrupted by a drunk Duncan, who tries to impress a woman by attempting to rap. Dean Pelton tries get Duncan off the stage before he can embarrass himself and the school even more, but Duncan drunkly insults him, and Pelton suspends him. Chang walks up to Duncan, pointing out that since he is suspended, he is not an acting professor, before he pulls out a pack of quarters from his pocket and uses it to savagely hit Duncan in the face with, initiating a full-on BallroomBlitz.

Jeff, meanwhile, has used the commotion to sneak away, and runs into Annie, who changed her mind about leaving. After the two each share their respective conflicted emotions, Annie gives Jeff a small kiss, and Jeff responds by embracing her and giving her the BigDamnKiss that has been building for most of the season.

Has a [[YMMV/CommunityS1E25PascalsTriangleRevisited YMMV]] and [[Trivia/CommunityS1E25PascalsTriangleRevisited Trivia]] page.
!!The ''Series/{{Community}}'' episode "Pascal's Triangle Revisited" provides examples of:
* TheAllegedCar: Jeff's BMW is still wrecked from last episode.
* BackhandedCompliment:
-->'''Slater:''' Britta! You look great! Such a ''stunning'' improvement.\\
'''Britta:''' Wow, you look gorgeous. It ''must've'' taken all day.
* BallroomBlitz
* BettyAndVeronica: Which ends with Jeff struggling to make a decision after both Britta and Professor Slater confess their love for him. He ends up taking a ThirdOptionLoveInterest in Annie.
* BigDamnKiss: The Jeff and Annie kiss at the end. To the point that most fans regard it as the "Hottest TV kiss ever," it's that explosively breathtaking.
* {{Callback}}[=/=]ContinuityNod: In the order they appear:
** [[Recap/CommunityS1E24EnglishAsASecondLanguage Jeff's car has a damaged windshield from Chang's attack with a Key-tar.]]
** [[Recap/CommunityS1E09Debate109 He pulls into a faculty reserved parking space he secured due to his participation in Debate Team]]
** [[Recap/CommunityS1E03IntroductionToFilm He talks briefly with his accounting teacher, Prof. Whitman.]]
** [[Recap/CommunityS1E04SocialPsychology Jeff greets Vaughn in three variations, counting off each one. This goes back to an observation about Vaughn in "Social Psychology", the fourth episode.]] Later, the rest of the study group simultaneously does the same thing with goodbyes.
** Pierce plays the Greendale school song (set to the tune of Bruce Hornsby's "The Way it Is"), which he "wrote" in "[[Recap/CommunityS1E05AdvancedCriminalLaw Advanced Criminal Law]]".
** Britta's therapy sessions with Duncan were a condition of her acquittal for cheating in "Advanced Criminal Law" episode; here we see one for the first (and last) time.
** Britta reveals to Shirley and Slater that she had sex with Jeff during the events of "[[Recap/CommunityS1E23ModernWarfare Modern Warfare]]".
** Having learned about Jeff and Britta's sex, Shirley responds, "Holy macaroni with pepperjack!" Which was mentioned as an improvement on the standard macaroni and cheese formula during the background chatter when the group finds out about Slater and Jeff dating in "[[Recap/CommunityS1E14InterpretiveDance Interpretive Dance]]".
** The Dean's two apparent dates, dressed in dalmation costumes, refers back to a scene from "[[Recap/CommunityS1E10EnvironmentalScience Enviromental Science]]", in which he watched a video of a man in a strangely muscular dalmation costume. This was referenced several times since then, in increasingly unsubtle fashion as the Dean piled up more and more dalmatian paraphernalia.
** [[Recap/CommunityS1E13InvestigativeJournalism Shirley's friend Gary from Finland is mentioned as transferring back.]]
** [[Recap/CommunityS1E16CommunicationStudies Britta using a lot of makeup up for Valentine's Dance.]]
** One of the girls from [[Recap/CommunityS1E15RomanticExpressionism the Greendale Comedy Club]] is on "Team Britta".
* CatchPhrase: Britta's "Do you have a patent on loving someone?"
* ComicallyMissingThePoint: Troy and the phrase "jump the shark". He thought that episode of ''Series/HappyDays'' was the most awesome thing ever.
* ConversationalTroping: Abed refuses to let Troy move into his dorm, citing that it's the sort-of thing that usually signifies JumpingTheShark.
* CreatorCameo: Presumably the contestant "[[GenderFlip Danielle Harmon]]" is a reference to Dan Harmon.
* DistractedByTheSexy: Professor Duncan when Britta and Professor Slater walk into the dance.
-->'''Duncan:''' You might want to go easy on the punch; I put in a little hot person. Hot people.
* FreudianCouch: Britta is lying down on the couch when she has a therapy session. Duncan tells her she needs not lie and she angrily responds that he could have told her sooner, not in the last session.
* GiantFood:
-->'''Jeff:''' Whatís wrong with you?\\
'''Troy:''' Iím sick. I donít know why. [takes another bite of cookie]\\
'''Jeff:''' Have you considered the sixty-inch-diameter cookie youíre eating?\\
'''Troy:''' How can something thatís delicious make me sick?
* HeldGaze: One happens between Jeff and Annie before she first moves in to kiss him. Then they hold each other's gaze a bit longer before Jeff swoops in to give her TheBigDamnKiss.
* HeyYouHaymaker:
-->'''Chang''': What's this in my hand?
-->'''Duncan''': A roll of quarters,why?
-->''Señor Chang closes his fist around the quarters and punches Duncan''
* IronicEcho: Señor Chang, who is now a student, asks Duncan if he can get help to cheat his way through school, mirroring Jeff's actions in the first episode. Naturally, he is rebuffed.
** WhatCouldHaveBeen: In the commentary, it's mentioned that they considered having a runner where Chang experienced Jeff's entire character arc from the season in miniature within that episode.
* LampshadeHanging: Britta takes therapy with Professor Duncan. She automatically lies down on the couch for the session, which Duncan notes is how one would act "in a Creator/WoodyAllen movie" and is unnecessary.
* LoveDodecahedron: Annie is willing to transfer to another school to be with her boyfriend Vaughn, who used to go out with Britta. Jeff is stuck with choosing between Britta and Slater after both publicly profess their love for him. In the end, Jeff and Annie kiss.
* OverlyNarrowSuperlative: Duncan asks Chang what the correct term is for "a teacher who was pretending to be a professor, who turned out to be pretending to be a teacher".
* RunningGag: The Dean's dalmatian-furry fetish is followed from its very beginning ("I hope this doesn't awaken something in me"), to its escalation (dalmatian mugs, posters, and rugs), to its inevitable conclusion in "Pascal's Triangle Revisited".
* SeasonFinale
* SeriousBusiness: Vaughn just got a spot on the number one community college hacky sack team.
* ShipToShipCombat: In universe example between Team Britta and Team Slater. And Team Bring Conan Back.
* ShoutOut:
** Troy mentions ''[[JumpedTheShark that]]'' episode of ''Series/HappyDays''.
** Britta tells Shirley where and when she had sex with Jeff in the form of a TabletopGame/{{Clue}} accusation.
** Troy calls Slater's outfit "very ''Film/FatalAttraction''".
** The school splits up into [[Literature/{{Twilight}} "Team Britta" and "Team Slater"]].
** Star-Burns shouts, "Bring [[Creator/ConanOBrien Conan]] back!"
** Chang says to Professor Duncan he'll [[Series/{{LOST}} find a loophole]].
* SpeakOfTheDevil: Saying "Nothing could ruin this." summons the Dean.
-->'''Jeff:''' He's like an evil genie!
* {{Spinoff}}: Abed's thinks the idea of Troy moving in with Pierce sounds like a spinoff.
* StockSitcomGrandFinale: Parodied. Abed keeps trying to give things a finale vibe.
* TakeAThirdOption
* ThirdOptionLoveInterest: Jeff has to choose between [[BettyAndVeronica Britta and Slater]]. [[spoiler:He chooses Annie.]]
* TwinThreesomeFantasy: The Dean's reaction when a second Dalmatian-costumed man walks in.
-->'''Dean:''' Please don't be mad. I didn't think more than one person would answer the ad.\\
Drags the first Dalmatian toward the second\\
'''Dean:''' Yes! [[{{Squee}} Dream coming true!]]
** Jeff wishes he could be two people so one could be with Britta and the other with Slater, then they could get together for some weird foursome.
* UnfortunateName: The Tranny Dance (that is, ''Transfer'' Dance), where they crown the Tranny Queen.
* WhatNowEnding: No Mortal danger CliffHanger here, but the question of how the study group can possibly stay together after Jeff runs away from Britta's confession and kisses Annie minutes later.