Answered January 19th, 2020

Patrick Mahomes is the youngest QB in NFL history with 3+ TD passes, 1+ TD rush, 0 INT in a playoff game.

youngest qb with 3 pass tds, 1 rush td, 0 int in a playoff game,
Interpreted as:
youngest qb with 3 or more pass tds, 1 or more rush td, 0 passing int in a playoff game,
1/19/2020Mahomes1/15/2011Rodgers1/14/2012Smith1/20/1985Montana12/29/1957Rote1/22/2017Ryan1/19/2003Gannon24-12427-04427-25228-22329-34531-25037-030
NAMEDATEROUNDTMOPPAGEPASS TDRUSH TDINTCMPATTPCTYDSAVGTD%INT%SCKSCKYRATE
Patrick MahomesPatrick Mahomes1/19/2020AFC ChampionshipKCKCvs. TENvs. TEN24-124310233565.72948.48.60.022120.4
Aaron RodgersAaron Rodgers1/15/2011NFC DivisionalGBGB@ ATL@ ATL27-044310313686.136610.28.30.0220136.8
Alex SmithAlex Smith1/14/2012NFC DivisionalSFSFvs. NOvs. NO27-252310244257.12997.17.10.0435103.2
Joe MontanaJoe Montana1/20/1985Super BowlSFSFvs. MIAvs. MIA28-223310243568.63319.58.60.015127.2
Tobin RoteTobin Rote12/29/1957NFL ChampionshipDETDETvs. CLEvs. CLE29-345410121963.228014.721.10.000146.4
Matt RyanMatt Ryan1/22/2017NFC ChampionshipATLATLvs. GBvs. GB31-250410273871.139210.310.50.000139.4
Rich GannonRich Gannon1/19/2003AFC ChampionshipOAKOAKvs. TENvs. TEN37-030310294170.72867.07.30.000114.5

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