Question

7) Quantos anagramas podemos formar com a palavra CARRETA?​

Answer 1

$\large\boxed{\begin{array}{l} \underbrace{\sf{CARRETA}} \\ ~~~~~~~ \rm \: P {}^{2,2} _{7} \\ \\ \rm \: P {}^{2,2} _{7} = \dfrac{7!}{2! \times 2!} \\ \\ \rm \: P {}^{2,2} _{7} = \dfrac{7 \times6 \times 5 \times 4 \times 3 \times\diagup\!\!\!\!{2!} }{\diagup\!\!\!\!{2!} \times 2!} \\ \\ \rm \:P {}^{2,2} _{7} = \dfrac{2520}{2} \\ \\ \boxed{ \rm P {}^{2,2} _{7} = 1260 \: anagramas} \checkmark \end{array}}$