---
title: Kombinatorika – permutacije i kombinacije
description: "Kombinatorika: pravilo brojanja, permutacije, varijacije i kombinacije s jasnim formulama."
url: https://astra-ai.co/hr/videos/kombinatorika/
locale: hr
type: video-topic
keywords:
  - kombinatorika
published: 2026-10-01T18:25:20.179Z
updated: 2026-10-01T18:25:20.179Z
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---

# Kombinatorika

> Kombinatorika proučava brojanje, razvrstavanje i odabir elemenata. Uključuje permutacije, kombinacije i pravilo produkta.

Kombinatorika se bavi brojanjem mogućnosti, razvrstavanjem i odabirom elemenata.

## Pravilo brojanja

Produkt broja mogućnosti uzastopnih koraka.

## Permutacije, varijacije, kombinacije

- Permutacije: $n!$
- Varijacije: $V_n^k = \frac{n!}{(n-k)!}$
- Kombinacije: $\binom{n}{k} = \frac{n!}{k!(n-k)!}$

## Zaključak

Kombinatorika je ključna za vjerojatnost i diskretnu matematiku.