Hvis "" (n), (k)) = ((n!), (K! (Nk)!)) "" Viser at "" ((n), (k)) = ((n), nk)) ...?

Svar:

# "Se forklaring" #

Forklaring:

# "Dette er trivielt." #

# ((n), (k)) = ((n!), (k! (n-k)!)) "(definitionskombination)" #

# => farve (rød) ((n), (n-k))) = ((n!), ((n-k)! (n- (n-k))!))

(n-k) = n-n + k = 0 + k = k) "(n-k)

# = ((n!), (k! (n-k)!)) "(kommutativitet af multiplikation)" #

# = farve (rød) (((n), (k))) "(definitionskombination)" #