Question

Quantos anagramas consigo formar com as letras da palavra Natal

Answer 1

Resposta:

60 anagramas

Explicação passo-a-passo:

Estes são todos os anagramas de Natal :

aalnt

aaltn

aanlt

aantl

aatln

aatnl

alant

alatn

alnat

alnta

altan

altna

analt

anatl

anlat

anlta

antal

antla

ataln

atanl

atlan

atlna

atnal

atnla

laant

laatn

lanat

lanta

latan

latna

lnaat

lnata

lntaa

ltaan

ltana

ltnaa

naalt

naatl

nalat

nalta

natal

natla

nlaat

nlata

nltaa

ntaal

ntala

ntlaa

taaln

taanl

talan

talna

tanal

tanla

tlaan

tlana

tlnaa

tnaal

tnala

tnlaa

Answer 2

$\Large\begin{array}{l}\LARGE\boxed{\boxed{\boxed{\boxed{\sf P_n^{a,b,c}=\dfrac{n!}{a!\cdot b!\cdot c!}}}}}\\\\\sf\underbrace{\sf NATAL}_{\sf P_5^2}=\dfrac{5!}{2!}\\\sf P_5^2=\dfrac{5\cdot4\cdot3\cdot\diagup\!\!\!\!2!}{\diagup\!\!\!\!2!}\\\sf P_5^2=5\cdot4\cdot3\\\boxed{\boxed{\sf P_5^2=60}}\end{array}$