denome.py

Created by granier-kloon

Created on September 25, 2025

845 Bytes

non


U : union, garde les elements
uniques.

k = nb de slots
n = nb d'éléments qui peuvent
remplir les slots.

quand on multiplie 2
ensembles, on multiplie les
cards de chaque ensemble.

nb de parties d’un ensemble
à n éléments = 2^n.

{} = k-uplet, l'ordre compte
pas.
() = ensemble, l'ordre compte

k-uplets = liste de k elements
ordonnés parmi n
ordonné veut dire que si tu
pick {1;2} et {2;1} c'est
pas la meme chose
si on precise pas c'est avec
rep
avec rep: n^^k
sans rep: n!/(n-k)!
sans rep = arrangementdes k
parmi n
permutation = arrangement ou
k = n ==> n!

combinaisons = liste de k
elements parmi n, note(n)
                      (k)=
n!/k!(n-k)!
sous ensemble de taille k
choisi dans l'ensemble de
taille n, sans repetition 
et sans tenir pas ordonne

n_k = n_n-k
n_k = n-1_k-1 + n-1_k
n_0 = k
n_1 = n
n_2 = n(n-1)/2

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