---
title: Permutaties met herhaling
description: Leer het aantal rangschikkingen met gelijke elementen berekenen.
url: https://astra-ai.co/nl/videos/combinatoriek/permutaties/permutaties-met-herhaling/
locale: nl
type: video-lesson
published: 2026-10-01T19:44:35.833Z
updated: 2026-10-01T19:44:35.833Z
alternates:
  bg: https://astra-ai.co/bg/videos/kombinatorika/permutatsii/permutatsii-s-povtorenie/
  br: https://astra-ai.co/br/videos/combinatoria/capitulo-matematica-004/video-matematica-055/
  cs: https://astra-ai.co/cs/videos/kombinatorika/permutace/permutace-s-opakovanim/
  da: https://astra-ai.co/da/videos/kombinatorik/permutationer/permutationer-med-gentagelse/
  de: https://astra-ai.co/de/videos/kombinatorik/permutationen/permutationen-mit-wiederholung/
  el: https://astra-ai.co/el/videos/syndyastiki/metatheseis/permutations-with-repetition/
  en: https://astra-ai.co/videos/combinatorics/permutations/permutations-with-repetition/
  en-IN: https://astra-ai.co/en-IN/videos/combinatorics/chapter-15458541/permutations-with-repetition/
  en-PH: https://astra-ai.co/en-PH/videos/combinatorics/chapter-15458541/lesson-9de1b410/
  es: https://astra-ai.co/es/videos/combinatoria/permutaciones/permutaciones-con-repeticion/
  es-AR: https://astra-ai.co/es-AR/videos/combinatoria/capitulo-50/leccion-55/
  es-CL: https://astra-ai.co/es-CL/videos/combinatoria/capitulo-50/leccion-de-matematicas-55/
  es-PE: https://astra-ai.co/es-PE/videos/combinatoria/capitulo-video-15458541/leccion-de-video-9de1b410/
  et: https://astra-ai.co/et/videos/kombinatoorika/permutatsioonid/permutatsioonid-kordustega/
  fi: https://astra-ai.co/fi/videos/kombinatorikka/permutaatiot/permutaatiot-toistolla/
  fr: https://astra-ai.co/fr/videos/combinatoire/permutations/permutations-avec-repetition/
  hr: https://astra-ai.co/hr/videos/kombinatorika/permutacije/permutacije-s-ponavljanjem/
  hu: https://astra-ai.co/hu/videos/kombinatorika/permutaciok/ismetleses-permutaciok/
  id: https://astra-ai.co/id/videos/kombinatorika/permutasi/permutasi-dengan-pengulangan/
  it: https://astra-ai.co/it/videos/combinatoria/permutazioni/permutazioni-con-ripetizione/
  ja: https://astra-ai.co/ja/videos/combinatorics-ja/50/055/
  km: https://astra-ai.co/km/videos/combinatorics/chapter-15458541/lesson-9de1b410/
  ko: https://astra-ai.co/ko/videos/combinatorics-ko/50/055/
  lo: https://astra-ai.co/lo/videos/lo-dd33883f/lo-15458541/lo-9de1b410/
  lt: https://astra-ai.co/lt/videos/kombinatorika/perrikiavimai/pamoka-9de1b410/
  lv: https://astra-ai.co/lv/videos/kombinatorika/permutacijas/stunda-9de1b410/
  ms: https://astra-ai.co/ms/videos/combinatorics/bab-04-matematik-asas/pelajaran-055/
  ms-BN: https://astra-ai.co/ms-BN/videos/kombinatorik/bab-15458541/pelajaran-9de1b410/
  mx: https://astra-ai.co/mx/videos/combinatoria/capitulo-50/leccion-55/
  my: https://astra-ai.co/my/videos/my-dd33883f/my-15458541/my-9de1b410/
  nl: https://astra-ai.co/nl/videos/combinatoriek/permutaties/permutaties-met-herhaling/
  no: https://astra-ai.co/no/videos/kombinatorikk/permutasjoner/permutasjoner-med-repetisjon/
  pl: https://astra-ai.co/pl/videos/kombinatoryka/permutacje/permutacje-z-powtorzeniami/
  pt: https://astra-ai.co/pt/videos/combinatoria/permutacoes/permutacoes-com-repeticao/
  pt-TL: https://astra-ai.co/pt-TL/videos/combinatoria/capitulo-de-video-050/licao-de-video-055/
  ro: https://astra-ai.co/ro/videos/combinatorica/permutari/lectie-video-9de1b410/
  sk: https://astra-ai.co/sk/videos/kombinatorika/kapitola-050/lekcia-055/
  sl: https://astra-ai.co/sl/videos/kombinatorika/permutacije/permutacije-s-ponavljanjem/
  sr: https://astra-ai.co/sr/videos/kombinatorika/poglavlje-050/lekcija-055/
  sv: https://astra-ai.co/sv/videos/kombinatorik/permutationer/permutationer-med-repetition/
  th: https://astra-ai.co/th/videos/combinatorics/bot-04-riang-sap-plian/botrian-055/
  tr: https://astra-ai.co/tr/videos/kombinatorik/bolum-050/ders-055/
  uk: https://astra-ai.co/uk/videos/uk-topic-05/uk-chapter-04/uk-lesson-9de1b410/
  vi: https://astra-ai.co/vi/videos/vi-topic-05/vi-chapter-04/hoan-vi-co-lap/
  zh-HK: https://astra-ai.co/zh-HK/videos/shuxue-kecheng-005/shuxue-zhang-004/shuxue-kecheng-055/
  zh-TW: https://astra-ai.co/zh-TW/videos/combinatorics/chapter-15458541/lesson-9de1b410/
---

# Permutaties met herhaling

> Leer rangschikkingen tellen wanneer elementen kunnen herhalen.

## PERMUTATIES MET HERHALING

Wanneer sommige elementen identiek zijn, moet je rekening houden met herhalingen. Het aantal verschillende rangschikkingen is n! gedeeld door de faculteiten van de aantallen gelijke elementen.

We passen deze regel toe op letters, objecten en andere telproblemen.

## CONCLUSIE

De formule voorkomt dat dezelfde volgorde meerdere keren wordt geteld.