Question

Determine o número de anagramas da palavra MOSSORÓ

Answer 1

$\boxed{\sf P_n^{a,b,c}=\dfrac{n!}{a!\cdot b!\cdot c!}}$

$\sf\underbrace{\sf MOSSOR\acute{O}}_{\sf P_7^{3,2}}=\dfrac{7!}{3!\cdot2!}$

$\sf P_7^{3,2}=\dfrac{7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}{3\cdot2\cdot1\cdot2\cdot1}$

$\sf P_7^{3,2}=\dfrac{5040}{12}$

$\boxed{\boxed{\sf P_7^{3,2}=420}}$