Question

Determine o número de anagramas da palavra
Paula
Adriana
Botafogo
Fluminense
Brincadeira

Answer 1

Paula

$\mathsf{P_{5}^{2}=\dfrac{5!}{2!}=\dfrac{5.4.3.2!}{2!}=60~anagramas}$

Adriana

$\mathsf{P_{7}^{3}=\dfrac{7!}{3!}\dfrac{7.6.5.4.3!}{3!}] =840~anagramas}$

Botafogo

$\mathsf{P_{8}^{3}=\dfrac{8!}{3!}=\dfrac{8.7.6.5.4.3!}{3!}=6720~anagramas}$

Fluminense

$\mathsf{P_{10}^{2}=\dfrac{10!}{2!}=\dfrac{10.9.8.7.6.5.4.3.2!}{2!}=1814400~anagramas}$

Brincadeira

$\mathsf{P_{11}^{2,2,2}=\dfrac{11!}{2!2!.2!}=\dfrac{11.10.9.8.7.6.5.4.3.2!}{2!. 2.2}=4989600~anagramas}$